616906920 has 256 divisors, whose sum is σ = 2269347840. Its totient is φ = 131079168.

The previous prime is 616906919. The next prime is 616906921. The reversal of 616906920 is 29609616.

It is an interprime number because it is at equal distance from previous prime (616906919) and next prime (616906921).

It is not an unprimeable number, because it can be changed into a prime (616906921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714409 + ... + 715271.

It is an arithmetic number, because the mean of its divisors is an integer number (8864640).

Almost surely, 2^616906920 is an apocalyptic number.

616906920 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 616906920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134673920).

616906920 is an abundant number, since it is smaller than the sum of its proper divisors (1652440920).

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

616906920 is a wasteful number, since it uses less digits than its factorization.

616906920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 616906920 is about 24837.6109962291. The cubic root of 616906920 is about 851.2815363046.

The spelling of 616906920 in words is "six hundred sixteen million, nine hundred six thousand, nine hundred twenty".