616624120 has 64 divisors (see below), whose sum is σ = 1595220480. Its totient is φ = 210132096.

The previous prime is 616624117. The next prime is 616624121. The reversal of 616624120 is 21426616.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616624121) 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, 40167 + ... + 53353.

It is an arithmetic number, because the mean of its divisors is an integer number (24925320).

Almost surely, 2^616624120 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 616624120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797610240).

616624120 is an abundant number, since it is smaller than the sum of its proper divisors (978596360).

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

616624120 is a wasteful number, since it uses less digits than its factorization.

616624120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13372 (or 13368 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 616624120 is about 24831.9173645532. The cubic root of 616624120 is about 851.1514360649.

The spelling of 616624120 in words is "six hundred sixteen million, six hundred twenty-four thousand, one hundred twenty".