616324800 has 672 divisors, whose sum is σ = 2666829312. Its totient is φ = 120913920.

The previous prime is 616324781. The next prime is 616324829. The reversal of 616324800 is 8423616.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7425559 + ... + 7425641.

It is an arithmetic number, because the mean of its divisors is an integer number (3968496).

Almost surely, 2^616324800 is an apocalyptic number.

616324800 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 616324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333414656).

616324800 is an abundant number, since it is smaller than the sum of its proper divisors (2050504512).

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

616324800 is a wasteful number, since it uses less digits than its factorization.

616324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 616324800 is about 24825.8897121533. The cubic root of 616324800 is about 851.0136925712.

The spelling of 616324800 in words is "six hundred sixteen million, three hundred twenty-four thousand, eight hundred".