92816640 has 216 divisors, whose sum is σ = 367331328. Its totient is φ = 21196800.

The previous prime is 92816639. The next prime is 92816657. The reversal of 92816640 is 4661829.

92816640 is a `hidden beast` number, since 9 + 2 + 8 + 1 + 6 + 640 = 666.

It is a super-2 number, since 2×92816640² = 17229857321779200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 92816595 and 92816604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80065 + ... + 81215.

It is an arithmetic number, because the mean of its divisors is an integer number (1700608).

Almost surely, 2^92816640 is an apocalyptic number.

92816640 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 92816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664).

92816640 is an abundant number, since it is smaller than the sum of its proper divisors (274514688).

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

92816640 is a wasteful number, since it uses less digits than its factorization.

92816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 92816640 is about 9634.1392973114. The cubic root of 92816640 is about 452.7675371184.

The spelling of 92816640 in words is "ninety-two million, eight hundred sixteen thousand, six hundred forty".