616684320 has 192 divisors, whose sum is σ = 2466858240. Its totient is φ = 140949504.

The previous prime is 616684301. The next prime is 616684337. The reversal of 616684320 is 23486616.

616684320 is a `hidden beast` number, since 616 + 6 + 8 + 4 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20044 + ... + 40436.

It is an arithmetic number, because the mean of its divisors is an integer number (12848220).

Almost surely, 2^616684320 is an apocalyptic number.

616684320 is a gapful number since it is divisible by the number (60) 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 616684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233429120).

616684320 is an abundant number, since it is smaller than the sum of its proper divisors (1850173920).

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

616684320 is a wasteful number, since it uses less digits than its factorization.

616684320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20424 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 616684320 is about 24833.1294846219. The cubic root of 616684320 is about 851.1791340024.

The spelling of 616684320 in words is "six hundred sixteen million, six hundred eighty-four thousand, three hundred twenty".