616396800 has 144 divisors (see below), whose sum is σ = 2038228920. Its totient is φ = 164331520.

The previous prime is 616396771. The next prime is 616396811. The reversal of 616396800 is 8693616.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151594 + ... + 155606.

Almost surely, 2^616396800 is an apocalyptic number.

616396800 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 616396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019114460).

616396800 is an abundant number, since it is smaller than the sum of its proper divisors (1421832120).

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

616396800 is a wasteful number, since it uses less digits than its factorization.

616396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 616396800 is about 24827.3397688919. The cubic root of 616396800 is about 851.0468301853.

The spelling of 616396800 in words is "six hundred sixteen million, three hundred ninety-six thousand, eight hundred".