61508736 has 96 divisors (see below), whose sum is σ = 179010000. Its totient is φ = 20270592.

The previous prime is 61508731. The next prime is 61508749. The reversal of 61508736 is 63780516.

61508736 is a `hidden beast` number, since 615 + 0 + 8 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61508736.

It is not an unprimeable number, because it can be changed into a prime (61508731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123015 + ... + 123513.

Almost surely, 2^61508736 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 61508736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89505000).

61508736 is an abundant number, since it is smaller than the sum of its proper divisors (117501264).

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

61508736 is a wasteful number, since it uses less digits than its factorization.

61508736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61508736 is about 7842.7505379172. The cubic root of 61508736 is about 394.7410277058.

The spelling of 61508736 in words is "sixty-one million, five hundred eight thousand, seven hundred thirty-six".