39993696 has 96 divisors (see below), whose sum is σ = 119599200. Its totient is φ = 12994560.

The previous prime is 39993691. The next prime is 39993713. The reversal of 39993696 is 69639993.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39993691) 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, 34860 + ... + 35988.

It is an arithmetic number, because the mean of its divisors is an integer number (1245825).

Almost surely, 2^39993696 is an apocalyptic number.

39993696 is a gapful number since it is divisible by the number (36) 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 39993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59799600).

39993696 is an abundant number, since it is smaller than the sum of its proper divisors (79605504).

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

39993696 is a wasteful number, since it uses less digits than its factorization.

39993696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1175 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 39993696 is about 6324.0569257400. The cubic root of 39993696 is about 341.9772222442.

The spelling of 39993696 in words is "thirty-nine million, nine hundred ninety-three thousand, six hundred ninety-six".