61563264 has 128 divisors (see below), whose sum is σ = 192249600. Its totient is φ = 17086464.

The previous prime is 61563247. The next prime is 61563269. The reversal of 61563264 is 46236516.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61563269) 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 15 ways as a sum of consecutive naturals, for example, 99147 + ... + 99765.

It is an arithmetic number, because the mean of its divisors is an integer number (1501950).

Almost surely, 2^61563264 is an apocalyptic number.

61563264 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 61563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124800).

61563264 is an abundant number, since it is smaller than the sum of its proper divisors (130686336).

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

61563264 is a wasteful number, since it uses less digits than its factorization.

61563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 61563264 is about 7846.2260992148. The cubic root of 61563264 is about 394.8576403084.

The spelling of 61563264 in words is "sixty-one million, five hundred sixty-three thousand, two hundred sixty-four".