92561040 has 480 divisors, whose sum is σ = 389975040. Its totient is φ = 19353600.

The previous prime is 92561033. The next prime is 92561057. The reversal of 92561040 is 4016529.

92561040 is a `hidden beast` number, since 9 + 2 + 5 + 610 + 40 = 666.

92561040 is a nontrivial binomial coefficient, being equal to C(33, 10).

It is a super-2 number, since 2×92561040² = 17135092251763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 92560995 and 92561013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2985825 + ... + 2985855.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^92561040 is an apocalyptic number.

92561040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

92561040 is an abundant number, since it is smaller than the sum of its proper divisors (297414000).

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

92561040 is a wasteful number, since it uses less digits than its factorization.

92561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 92561040 is about 9620.8648259915. The cubic root of 92561040 is about 452.3515421130.

Adding to 92561040 its reverse (4016529), we get a palindrome (96577569).

It can be divided in two parts, 9256 and 1040, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 92561040 in words is "ninety-two million, five hundred sixty-one thousand, forty".