616302432 has 168 divisors, whose sum is σ = 1883982240. Its totient is φ = 198132480.

The previous prime is 616302397. The next prime is 616302437. The reversal of 616302432 is 234203616.

616302432 is a `hidden beast` number, since 6 + 1 + 630 + 24 + 3 + 2 = 666.

It is a super-2 number, since 2×616302432² = 759657375378229248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 616302396 and 616302405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616302437) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 676057 + ... + 676967.

It is an arithmetic number, because the mean of its divisors is an integer number (11214180).

Almost surely, 2^616302432 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 616302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941991120).

616302432 is an abundant number, since it is smaller than the sum of its proper divisors (1267679808).

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

616302432 is an equidigital number, since it uses as much as digits as its factorization.

616302432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 616302432 is about 24825.4392106162. The cubic root of 616302432 is about 851.0033972937.

The spelling of 616302432 in words is "six hundred sixteen million, three hundred two thousand, four hundred thirty-two".