61564760 has 64 divisors (see below), whose sum is σ = 144460800. Its totient is φ = 23587200.

The previous prime is 61564733. The next prime is 61564787. The reversal of 61564760 is 6746516.

It is an interprime number because it is at equal distance from previous prime (61564733) and next prime (61564787).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61564760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162251 + ... + 162629.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 2^61564760 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 61564760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72230400).

61564760 is an abundant number, since it is smaller than the sum of its proper divisors (82896040).

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

61564760 is a wasteful number, since it uses less digits than its factorization.

61564760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 61564760 is about 7846.3214310911. The cubic root of 61564760 is about 394.8608386565.

The spelling of 61564760 in words is "sixty-one million, five hundred sixty-four thousand, seven hundred sixty".