61364736 has 160 divisors (see below), whose sum is σ = 190523520. Its totient is φ = 19464192.

The previous prime is 61364707. The next prime is 61364753. The reversal of 61364736 is 63746316.

It is a happy number.

61364736 is a `hidden beast` number, since 6 + 1 + 3 + 647 + 3 + 6 = 666.

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

Its product of digits (54432) is a multiple of the sum of its prime factors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 61364736.

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, 317856 + ... + 318048.

It is an arithmetic number, because the mean of its divisors is an integer number (1190772).

Almost surely, 2^61364736 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 61364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95261760).

61364736 is an abundant number, since it is smaller than the sum of its proper divisors (129158784).

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

61364736 is a wasteful number, since it uses less digits than its factorization.

61364736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 61364736 is about 7833.5647058028. The cubic root of 61364736 is about 394.4327401995.

The spelling of 61364736 in words is "sixty-one million, three hundred sixty-four thousand, seven hundred thirty-six".