616828032 has 96 divisors (see below), whose sum is σ = 1782316380. Its totient is φ = 204761088.

The previous prime is 616828019. The next prime is 616828039. The reversal of 616828032 is 230828616.

616828032 is a `hidden beast` number, since 616 + 8 + 2 + 8 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 612265536 + 4562496 = 24744^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (616828039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318138 + ... + 320070.

Almost surely, 2^616828032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891158190).

616828032 is an abundant number, since it is smaller than the sum of its proper divisors (1165488348).

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

616828032 is a wasteful number, since it uses less digits than its factorization.

616828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 616828032 is about 24836.0228700168. The cubic root of 616828032 is about 851.2452484096.

The spelling of 616828032 in words is "six hundred sixteen million, eight hundred twenty-eight thousand, thirty-two".