1602134016 has 224 divisors, whose sum is σ = 4990917120. Its totient is φ = 447676416.

The previous prime is 1602134011. The next prime is 1602134021. The reversal of 1602134016 is 6104312061.

It is an interprime number because it is at equal distance from previous prime (1602134011) and next prime (1602134021).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1602134016³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1602134011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11526075 + ... + 11526213.

It is an arithmetic number, because the mean of its divisors is an integer number (22280880).

Almost surely, 2^1602134016 is an apocalyptic number.

1602134016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1602134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495458560).

1602134016 is an abundant number, since it is smaller than the sum of its proper divisors (3388783104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1602134016 is an equidigital number, since it uses as much as digits as its factorization.

1602134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1602134016 is about 40026.6663113480. Note that the first 3 decimals coincide. The cubic root of 1602134016 is about 1170.1268559947.

Adding to 1602134016 its reverse (6104312061), we get a palindrome (7706446077).

The spelling of 1602134016 in words is "one billion, six hundred two million, one hundred thirty-four thousand, sixteen".