1602122400 has 216 divisors, whose sum is σ = 5845055580. Its totient is φ = 412446720.

The previous prime is 1602122369. The next prime is 1602122413. The reversal of 1602122400 is 42212061.

1602122400 is a `hidden beast` number, since 1 + 602 + 1 + 22 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 701402256 + 900720144 = 26484^2 + 30012^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204964 + ... + 212636.

Almost surely, 2^1602122400 is an apocalyptic number.

1602122400 is a gapful number since it is divisible by the number (10) 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 1602122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922527790).

1602122400 is an abundant number, since it is smaller than the sum of its proper divisors (4242933180).

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

1602122400 is a wasteful number, since it uses less digits than its factorization.

1602122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1602122400 is about 40026.5212078192. The cubic root of 1602122400 is about 1170.1240280527.

Adding to 1602122400 its reverse (42212061), we get a palindrome (1644334461).

The spelling of 1602122400 in words is "one billion, six hundred two million, one hundred twenty-two thousand, four hundred".