92640820 has 72 divisors (see below), whose sum is σ = 212113944. Its totient is φ = 33865728.

The previous prime is 92640817. The next prime is 92640829. The reversal of 92640820 is 2804629.

It can be written as a sum of positive squares in 12 ways, for example, as 1170724 + 91470096 = 1082^2 + 9564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92640829) 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, 955012 + ... + 955108.

It is an arithmetic number, because the mean of its divisors is an integer number (2946027).

Almost surely, 2^92640820 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 92640820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106056972).

92640820 is an abundant number, since it is smaller than the sum of its proper divisors (119473124).

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

92640820 is a wasteful number, since it uses less digits than its factorization.

92640820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 92640820 is about 9625.0101298648. The cubic root of 92640820 is about 452.4814680607.

The spelling of 92640820 in words is "ninety-two million, six hundred forty thousand, eight hundred twenty".