92688480 has 144 divisors (see below), whose sum is σ = 318898944. Its totient is φ = 24514560.

The previous prime is 92688473. The next prime is 92688493. The reversal of 92688480 is 8488629.

It is a happy number.

92688480 is a `hidden beast` number, since 92 + 6 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274872 + ... + 275208.

It is an arithmetic number, because the mean of its divisors is an integer number (2214576).

Almost surely, 2^92688480 is an apocalyptic number.

92688480 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 92688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159449472).

92688480 is an abundant number, since it is smaller than the sum of its proper divisors (226210464).

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

92688480 is a wasteful number, since it uses less digits than its factorization.

92688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 92688480 is about 9627.4856530664. The cubic root of 92688480 is about 452.5590493028.

The spelling of 92688480 in words is "ninety-two million, six hundred eighty-eight thousand, four hundred eighty".