61579152 has 120 divisors (see below), whose sum is σ = 184541760. Its totient is φ = 19111680.

The previous prime is 61579129. The next prime is 61579181. The reversal of 61579152 is 25197516.

It is a super-2 number, since 2×61579152² = 7583983922078208, which contains 22 as substring.

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

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, 194098 + ... + 194414.

It is an arithmetic number, because the mean of its divisors is an integer number (1537848).

Almost surely, 2^61579152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61579152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92270880).

61579152 is an abundant number, since it is smaller than the sum of its proper divisors (122962608).

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

61579152 is a wasteful number, since it uses less digits than its factorization.

61579152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 61579152 is about 7847.2384951650. The cubic root of 61579152 is about 394.8916051449.

The spelling of 61579152 in words is "sixty-one million, five hundred seventy-nine thousand, one hundred fifty-two".