61513920 has 336 divisors, whose sum is σ = 239645952. Its totient is φ = 14376960.

The previous prime is 61513919. The next prime is 61513957. The reversal of 61513920 is 2931516.

61513920 is a `hidden beast` number, since 61 + 513 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160614 + ... + 1160666.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^61513920 is an apocalyptic number.

61513920 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 61513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

61513920 is an abundant number, since it is smaller than the sum of its proper divisors (178132032).

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

61513920 is a wasteful number, since it uses less digits than its factorization.

61513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 61513920 is about 7843.0810272494. The cubic root of 61513920 is about 394.7521170791.

It can be divided in two parts, 615 and 13920, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 61513920 in words is "sixty-one million, five hundred thirteen thousand, nine hundred twenty".