61575264 has 72 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 20083968.

The previous prime is 61575263. The next prime is 61575271. The reversal of 61575264 is 46257516.

It is a happy number.

61575264 is a `hidden beast` number, since 61 + 575 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (61575263) 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 11 ways as a sum of consecutive naturals, for example, 11262 + ... + 15810.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 2^61575264 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 61575264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

61575264 is an abundant number, since it is smaller than the sum of its proper divisors (117294336).

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

61575264 is a wasteful number, since it uses less digits than its factorization.

61575264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4601 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 61575264 is about 7846.9907607949. The cubic root of 61575264 is about 394.8832940481.

The spelling of 61575264 in words is "sixty-one million, five hundred seventy-five thousand, two hundred sixty-four".