92096640 has 192 divisors, whose sum is σ = 324604800. Its totient is φ = 24053760.

The previous prime is 92096617. The next prime is 92096657. The reversal of 92096640 is 4669029.

92096640 is a `hidden beast` number, since 9 + 2 + 0 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×92096640³ (a number of 25 digits) contains 333 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 = 92096595 and 92096604.

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 23 ways as a sum of consecutive naturals, for example, 339705 + ... + 339975.

It is an arithmetic number, because the mean of its divisors is an integer number (1690650).

Almost surely, 2^92096640 is an apocalyptic number.

92096640 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 92096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162302400).

92096640 is an abundant number, since it is smaller than the sum of its proper divisors (232508160).

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

92096640 is a wasteful number, since it uses less digits than its factorization.

92096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 92096640 is about 9596.6994326174. The cubic root of 92096640 is about 451.5937561687.

The spelling of 92096640 in words is "ninety-two million, ninety-six thousand, six hundred forty".