92480 has 42 divisors (see below), whose sum is σ = 233934. Its totient is φ = 34816.

The previous prime is 92479. The next prime is 92489. The reversal of 92480 is 8429.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 61504 = 176^2 + 248^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92480.

It is not an unprimeable number, because it can be changed into a prime (92489) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5432 + ... + 5448.

2⁹²⁴⁸⁰ 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 92480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116967).

92480 is an abundant number, since it is smaller than the sum of its proper divisors (141454).

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

92480 is a wasteful number, since it uses less digits than its factorization.

92480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 92480 is about 304.1052449400. The cubic root of 92480 is about 45.2219487731.

It can be divided in two parts, 924 and 80, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 92480 in words is "ninety-two thousand, four hundred eighty".