92672640 has 256 divisors, whose sum is σ = 340761600. Its totient is φ = 23777280.

The previous prime is 92672623. The next prime is 92672647. The reversal of 92672640 is 4627629.

It is a happy number.

92672640 is a `hidden beast` number, since 9 + 2 + 6 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 92672595 and 92672604.

It is not an unprimeable number, because it can be changed into a prime (92672647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535594 + ... + 535766.

It is an arithmetic number, because the mean of its divisors is an integer number (1331100).

Almost surely, 2^92672640 is an apocalyptic number.

92672640 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 92672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170380800).

92672640 is an abundant number, since it is smaller than the sum of its proper divisors (248088960).

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

92672640 is a wasteful number, since it uses less digits than its factorization.

92672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 92672640 is about 9626.6629732218. The cubic root of 92672640 is about 452.5332678043.

The spelling of 92672640 in words is "ninety-two million, six hundred seventy-two thousand, six hundred forty".