1602671616 has 528 divisors, whose sum is σ = 5993616000. Its totient is φ = 422682624.

The previous prime is 1602671599. The next prime is 1602671639. The reversal of 1602671616 is 6161762061.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1602671616 is a `hidden beast` number, since 16 + 0 + 26 + 7 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123282426 + ... + 123282438.

Almost surely, 2^1602671616 is an apocalyptic number.

1602671616 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 1602671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996808000).

1602671616 is an abundant number, since it is smaller than the sum of its proper divisors (4390944384).

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

1602671616 is an equidigital number, since it uses as much as digits as its factorization.

1602671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1602671616 is about 40033.3812711342. The cubic root of 1602671616 is about 1170.2577210043.

The spelling of 1602671616 in words is "one billion, six hundred two million, six hundred seventy-one thousand, six hundred sixteen".