61164792 has 96 divisors (see below), whose sum is σ = 180442080. Its totient is φ = 18604800.

The previous prime is 61164773. The next prime is 61164823. The reversal of 61164792 is 29746116.

61164792 is a `hidden beast` number, since 6 + 1 + 1 + 647 + 9 + 2 = 666.

It is a super-2 number, since 2×61164792² = 7482263560806528, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94213 + ... + 94859.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^61164792 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 61164792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90221040).

61164792 is an abundant number, since it is smaller than the sum of its proper divisors (119277288).

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

61164792 is a wasteful number, since it uses less digits than its factorization.

61164792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 61164792 is about 7820.7922872302. The cubic root of 61164792 is about 394.0038822227.

The spelling of 61164792 in words is "sixty-one million, one hundred sixty-four thousand, seven hundred ninety-two".