93790840 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 29790720.

The previous prime is 93790817. The next prime is 93790847. The reversal of 93790840 is 4809739.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 93790793 and 93790802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93790847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108249 + ... + 109111.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^93790840 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 93790840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

93790840 is an abundant number, since it is smaller than the sum of its proper divisors (167482760).

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

93790840 is a wasteful number, since it uses less digits than its factorization.

93790840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 93790840 is about 9684.5671044193. The cubic root of 93790840 is about 454.3461041471.

The spelling of 93790840 in words is "ninety-three million, seven hundred ninety thousand, eight hundred forty".