92820240 has 120 divisors (see below), whose sum is σ = 314330328. Its totient is φ = 24545280.

The previous prime is 92820199. The next prime is 92820241. The reversal of 92820240 is 4202829.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 76947984 = 3984^2 + 8772^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (92820241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98170 + ... + 99110.

Almost surely, 2^92820240 is an apocalyptic number.

92820240 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 92820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157165164).

92820240 is an abundant number, since it is smaller than the sum of its proper divisors (221510088).

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

92820240 is a wasteful number, since it uses less digits than its factorization.

92820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 92820240 is about 9634.3261310794. The cubic root of 92820240 is about 452.7733907457.

The spelling of 92820240 in words is "ninety-two million, eight hundred twenty thousand, two hundred forty".