92992968 has 64 divisors (see below), whose sum is σ = 262728000. Its totient is φ = 30468096.

The previous prime is 92992957. The next prime is 92992969. The reversal of 92992968 is 86929929.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (92992969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9096 + ... + 16392.

It is an arithmetic number, because the mean of its divisors is an integer number (4105125).

Almost surely, 2^92992968 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 92992968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131364000).

92992968 is an abundant number, since it is smaller than the sum of its proper divisors (169735032).

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

92992968 is a wasteful number, since it uses less digits than its factorization.

92992968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7361 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 92992968 is about 9643.2861618849. The cubic root of 92992968 is about 453.0540701215.

The spelling of 92992968 in words is "ninety-two million, nine hundred ninety-two thousand, nine hundred sixty-eight".