616632408 has 192 divisors, whose sum is σ = 2005585920. Its totient is φ = 167443200.

The previous prime is 616632397. The next prime is 616632431. The reversal of 616632408 is 804236616.

616632408 is a `hidden beast` number, since 6 + 16 + 632 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952741 + ... + 953387.

It is an arithmetic number, because the mean of its divisors is an integer number (10445760).

Almost surely, 2^616632408 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 616632408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002792960).

616632408 is an abundant number, since it is smaller than the sum of its proper divisors (1388953512).

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

616632408 is a wasteful number, since it uses less digits than its factorization.

616632408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 751 counting only the distinct ones).

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

The square root of 616632408 is about 24832.0842459911. The cubic root of 616632408 is about 851.1552494693.

The spelling of 616632408 in words is "six hundred sixteen million, six hundred thirty-two thousand, four hundred eight".