61589312 has 56 divisors (see below), whose sum is σ = 129722880. Its totient is φ = 28961280.

The previous prime is 61589293. The next prime is 61589329. The reversal of 61589312 is 21398516.

61589312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72989 + ... + 73827.

It is an arithmetic number, because the mean of its divisors is an integer number (2316480).

Almost surely, 2^61589312 is an apocalyptic number.

61589312 is a gapful number since it is divisible by the number (62) 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 61589312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64861440).

61589312 is an abundant number, since it is smaller than the sum of its proper divisors (68133568).

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

61589312 is a wasteful number, since it uses less digits than its factorization.

61589312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 909 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 61589312 is about 7847.8858299545. The cubic root of 61589312 is about 394.9133217916.

The spelling of 61589312 in words is "sixty-one million, five hundred eighty-nine thousand, three hundred twelve".