93788496 has 80 divisors (see below), whose sum is σ = 271857600. Its totient is φ = 30955392.

The previous prime is 93788491. The next prime is 93788509. The reversal of 93788496 is 69488739.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93788491) 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, 45210 + ... + 47238.

It is an arithmetic number, because the mean of its divisors is an integer number (3398220).

Almost surely, 2^93788496 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 93788496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135928800).

93788496 is an abundant number, since it is smaller than the sum of its proper divisors (178069104).

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

93788496 is a wasteful number, since it uses less digits than its factorization.

93788496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2141 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 93788496 is about 9684.4460863800. The cubic root of 93788496 is about 454.3423191430.

The spelling of 93788496 in words is "ninety-three million, seven hundred eighty-eight thousand, four hundred ninety-six".