616672640 has 64 divisors (see below), whose sum is σ = 1487453760. Its totient is φ = 244457472.

The previous prime is 616672631. The next prime is 616672643. The reversal of 616672640 is 46276616.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 616672594 and 616672603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616672643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68057 + ... + 76583.

It is an arithmetic number, because the mean of its divisors is an integer number (23241465).

Almost surely, 2^616672640 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 616672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743726880).

616672640 is an abundant number, since it is smaller than the sum of its proper divisors (870781120).

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

616672640 is a wasteful number, since it uses less digits than its factorization.

616672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 616672640 is about 24832.8943137927. The cubic root of 616672640 is about 851.1737601914.

The spelling of 616672640 in words is "six hundred sixteen million, six hundred seventy-two thousand, six hundred forty".