92993040 has 120 divisors (see below), whose sum is σ = 356935488. Its totient is φ = 21254400.

The previous prime is 92992993. The next prime is 92993041. The reversal of 92993040 is 4039929.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 92992986 and 92993004.

It is not an unprimeable number, because it can be changed into a prime (92993041) 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, 4186 + ... + 14265.

Almost surely, 2^92993040 is an apocalyptic number.

92993040 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 92993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178467744).

92993040 is an abundant number, since it is smaller than the sum of its proper divisors (263942448).

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

92993040 is a wasteful number, since it uses less digits than its factorization.

92993040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18477 (or 18468 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 92993040 is about 9643.2898950514. The cubic root of 92993040 is about 453.0541870475.

The spelling of 92993040 in words is "ninety-two million, nine hundred ninety-three thousand, forty".