616553280 has 504 divisors, whose sum is σ = 2622197448. Its totient is φ = 132120576.

The previous prime is 616553261. The next prime is 616553309. The reversal of 616553280 is 82355616.

616553280 is a `hidden beast` number, since 61 + 65 + 532 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317124864 + 299428416 = 17808^2 + 17304^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2398912 + ... + 2399168.

Almost surely, 2^616553280 is an apocalyptic number.

616553280 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 616553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311098724).

616553280 is an abundant number, since it is smaller than the sum of its proper divisors (2005644168).

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

616553280 is a wasteful number, since it uses less digits than its factorization.

616553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 616553280 is about 24830.4909335277. The cubic root of 616553280 is about 851.1188403690.

The spelling of 616553280 in words is "six hundred sixteen million, five hundred fifty-three thousand, two hundred eighty".