92874400 has 72 divisors (see below), whose sum is σ = 240101820. Its totient is φ = 34959360.

The previous prime is 92874373. The next prime is 92874409. The reversal of 92874400 is 447829.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 48944016 + 43930384 = 6996^2 + 6628^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (92874409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10186 + ... + 17014.

Almost surely, 2^92874400 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 92874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120050910).

92874400 is an abundant number, since it is smaller than the sum of its proper divisors (147227420).

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

92874400 is a wasteful number, since it uses less digits than its factorization.

92874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 92874400 is about 9637.1365041697. The cubic root of 92874400 is about 452.8614370557.

The spelling of 92874400 in words is "ninety-two million, eight hundred seventy-four thousand, four hundred".