616694400 has 864 divisors, whose sum is σ = 2811650400. Its totient is φ = 127733760.

The previous prime is 616694389. The next prime is 616694401. The reversal of 616694400 is 4496616.

616694400 is a `hidden beast` number, since 6 + 166 + 94 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (616694401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26812789 + ... + 26812811.

It is an arithmetic number, because the mean of its divisors is an integer number (3254225).

Almost surely, 2^616694400 is an apocalyptic number.

616694400 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 616694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405825200).

616694400 is an abundant number, since it is smaller than the sum of its proper divisors (2194956000).

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

616694400 is a wasteful number, since it uses less digits than its factorization.

616694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 616694400 is about 24833.3324384787. The cubic root of 616694400 is about 851.1837716204.

The spelling of 616694400 in words is "six hundred sixteen million, six hundred ninety-four thousand, four hundred".