92688960 has 224 divisors, whose sum is σ = 362541312. Its totient is φ = 19537920.

The previous prime is 92688949. The next prime is 92688971. The reversal of 92688960 is 6988629.

It is an interprime number because it is at equal distance from previous prime (92688949) and next prime (92688971).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86830 + ... + 87890.

It is an arithmetic number, because the mean of its divisors is an integer number (1618488).

Almost surely, 2^92688960 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 92688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181270656).

92688960 is an abundant number, since it is smaller than the sum of its proper divisors (269852352).

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

92688960 is a wasteful number, since it uses less digits than its factorization.

92688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 92688960 is about 9627.5105816613. The cubic root of 92688960 is about 452.5598305145.

The spelling of 92688960 in words is "ninety-two million, six hundred eighty-eight thousand, nine hundred sixty".