616906800 has 180 divisors, whose sum is σ = 2204956840. Its totient is φ = 163820160.

The previous prime is 616906799. The next prime is 616906831. The reversal of 616906800 is 8609616.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 2581081 + ... + 2581319.

Almost surely, 2^616906800 is an apocalyptic number.

616906800 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 616906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102478420).

616906800 is an abundant number, since it is smaller than the sum of its proper divisors (1588050040).

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

616906800 is a wasteful number, since it uses less digits than its factorization.

616906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 616906800 is about 24837.6085805377. The cubic root of 616906800 is about 851.2814811079.

Multiplying 616906800 by its product of nonzero digits (15552), we get a square (9594134553600 = 3097440²).

The spelling of 616906800 in words is "six hundred sixteen million, nine hundred six thousand, eight hundred".