61539264 has 98 divisors (see below), whose sum is σ = 183230520. Its totient is φ = 20497536.

The previous prime is 61539263. The next prime is 61539293. The reversal of 61539264 is 46293516.

It is a happy number.

61539264 is a `hidden beast` number, since 61 + 539 + 2 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61539263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45997 + ... + 47315.

Almost surely, 2^61539264 is an apocalyptic number.

61539264 is a gapful number since it is divisible by the number (64) 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 61539264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91615260).

61539264 is an abundant number, since it is smaller than the sum of its proper divisors (121691256).

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

61539264 is an equidigital number, since it uses as much as digits as its factorization.

61539264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1324 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 61539264 is about 7844.6965524487. The cubic root of 61539264 is about 394.8063228263.

The spelling of 61539264 in words is "sixty-one million, five hundred thirty-nine thousand, two hundred sixty-four".