61164558 has 112 divisors (see below), whose sum is σ = 169668576. Its totient is φ = 16096320.

The previous prime is 61164557. The next prime is 61164563. The reversal of 61164558 is 85546116.

61164558 is a `hidden beast` number, since 6 + 1 + 1 + 645 + 5 + 8 = 666.

It is a super-2 number, since 2×61164558² = 7482206310670728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61164557) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132448 + ... + 132908.

It is an arithmetic number, because the mean of its divisors is an integer number (1514898).

Almost surely, 2^61164558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61164558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84834288).

61164558 is an abundant number, since it is smaller than the sum of its proper divisors (108504018).

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

61164558 is a wasteful number, since it uses less digits than its factorization.

61164558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 61164558 is about 7820.7773270948. Note that the first 3 decimals coincide. The cubic root of 61164558 is about 394.0033797712.

The spelling of 61164558 in words is "sixty-one million, one hundred sixty-four thousand, five hundred fifty-eight".