92742656 has 66 divisors (see below), whose sum is σ = 194043318. Its totient is φ = 44277760.

The previous prime is 92742649. The next prime is 92742679. The reversal of 92742656 is 65624729.

It can be written as a sum of positive squares in only one way, i.e., 56550400 + 36192256 = 7520^2 + 6016^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

Its product of digits (181440) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1973225 + ... + 1973271.

Almost surely, 2^92742656 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 92742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97021659).

92742656 is an abundant number, since it is smaller than the sum of its proper divisors (101300662).

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

92742656 is an equidigital number, since it uses as much as digits as its factorization.

92742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 90 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 92742656 is about 9630.2988530990. The cubic root of 92742656 is about 452.6472050397.

Multiplying 92742656 by its sum of digits (41), we get a square (3802448896 = 61664²).

92742656 divided by its sum of digits (41) gives a square (2262016 = 1504²).

The spelling of 92742656 in words is "ninety-two million, seven hundred forty-two thousand, six hundred fifty-six".