61589472 has 72 divisors (see below), whose sum is σ = 188082216. Its totient is φ = 17595648.

The previous prime is 61589449. The next prime is 61589483. The reversal of 61589472 is 27498516.

It is a super-2 number, since 2×61589472² = 7586526122477568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1843 + ... + 11250.

It is an arithmetic number, because the mean of its divisors is an integer number (2612253).

Almost surely, 2^61589472 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 61589472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94041108).

61589472 is an abundant number, since it is smaller than the sum of its proper divisors (126492744).

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

61589472 is a wasteful number, since it uses less digits than its factorization.

61589472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120 (or 13105 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 61589472 is about 7847.8960237761. The cubic root of 61589472 is about 394.9136637670.

The spelling of 61589472 in words is "sixty-one million, five hundred eighty-nine thousand, four hundred seventy-two".