92947920 has 160 divisors (see below), whose sum is σ = 320646144. Its totient is φ = 22141440.

The previous prime is 92947913. The next prime is 92947927. The reversal of 92947920 is 2974929.

It is an interprime number because it is at equal distance from previous prime (92947913) and next prime (92947927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92947927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998305 + ... + 2998335.

Almost surely, 2^92947920 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 92947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160323072).

92947920 is an abundant number, since it is smaller than the sum of its proper divisors (227698224).

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

92947920 is a wasteful number, since it uses less digits than its factorization.

92947920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 92947920 is about 9640.9501606429. The cubic root of 92947920 is about 452.9809015919.

The spelling of 92947920 in words is "ninety-two million, nine hundred forty-seven thousand, nine hundred twenty".