616034880 has 84 divisors (see below), whose sum is σ = 2118913212. Its totient is φ = 164275200.

The previous prime is 616034879. The next prime is 616034897. The reversal of 616034880 is 88430616.

It is a happy number.

616034880 is a `hidden beast` number, since 6 + 1 + 603 + 48 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 336208896 + 279825984 = 18336^2 + 16728^2 .

It is a super-2 number, since 2×616034880² = 758997946753228800, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104071 + ... + 109830.

Almost surely, 2^616034880 is an apocalyptic number.

616034880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

616034880 is an abundant number, since it is smaller than the sum of its proper divisors (1502878332).

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

616034880 is a wasteful number, since it uses less digits than its factorization.

616034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213924 (or 213911 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 616034880 is about 24820.0499596596. The cubic root of 616034880 is about 850.8802323207.

The spelling of 616034880 in words is "six hundred sixteen million, thirty-four thousand, eight hundred eighty".