61215264 has 240 divisors, whose sum is σ = 208565280. Its totient is φ = 17418240.

The previous prime is 61215257. The next prime is 61215281. The reversal of 61215264 is 46251216.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 541672 + ... + 541784.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 2^61215264 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 61215264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

61215264 is an abundant number, since it is smaller than the sum of its proper divisors (147350016).

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

61215264 is a wasteful number, since it uses less digits than its factorization.

61215264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 61215264 is about 7824.0184048863. The cubic root of 61215264 is about 394.1122272140.

It can be divided in two parts, 612152 and 64, that added together give a palindrome (612216).

The spelling of 61215264 in words is "sixty-one million, two hundred fifteen thousand, two hundred sixty-four".