61076736 has 162 divisors, whose sum is σ = 205228842. Its totient is φ = 17418240.

The previous prime is 61076681. The next prime is 61076737. The reversal of 61076736 is 63767016.

61076736 is a `hidden beast` number, since 610 + 7 + 6 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 11289600 = 7056^2 + 3360^2 .

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 61076736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61076737) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112626 + ... + 113166.

Almost surely, 2^61076736 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 61076736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102614421).

61076736 is an abundant number, since it is smaller than the sum of its proper divisors (144152106).

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

61076736 is a wasteful number, since it uses less digits than its factorization.

61076736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 61076736 is about 7815.1606509399. The cubic root of 61076736 is about 393.8147152890.

The spelling of 61076736 in words is "sixty-one million, seventy-six thousand, seven hundred thirty-six".