92869920 has 432 divisors, whose sum is σ = 384294456. Its totient is φ = 20275200.

The previous prime is 92869867. The next prime is 92869921. The reversal of 92869920 is 2996829.

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 60652944 = 5676^2 + 7788^2 .

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

It is not an unprimeable number, because it can be changed into a prime (92869921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265100 + ... + 2265140.

Almost surely, 2^92869920 is an apocalyptic number.

92869920 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 92869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192147228).

92869920 is an abundant number, since it is smaller than the sum of its proper divisors (291424536).

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

92869920 is a wasteful number, since it uses less digits than its factorization.

92869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 92869920 is about 9636.9040671784. The cubic root of 92869920 is about 452.8541553510.

The spelling of 92869920 in words is "ninety-two million, eight hundred sixty-nine thousand, nine hundred twenty".