616133880 has 96 divisors (see below), whose sum is σ = 2009124000. Its totient is φ = 163753728.

The previous prime is 616133863. The next prime is 616133891. The reversal of 616133880 is 88331616.

616133880 is a `hidden beast` number, since 6 + 1 + 613 + 38 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 111421 + ... + 116819.

It is an arithmetic number, because the mean of its divisors is an integer number (20928375).

Almost surely, 2^616133880 is an apocalyptic number.

616133880 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 616133880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004562000).

616133880 is an abundant number, since it is smaller than the sum of its proper divisors (1392990120).

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

616133880 is a wasteful number, since it uses less digits than its factorization.

616133880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 616133880 is about 24822.0442349134. The cubic root of 616133880 is about 850.9258101680.

The spelling of 616133880 in words is "six hundred sixteen million, one hundred thirty-three thousand, eight hundred eighty".