39420864 has 112 divisors (see below), whose sum is σ = 132486400. Its totient is φ = 11259648.

The previous prime is 39420847. The next prime is 39420907. The reversal of 39420864 is 46802493.

It is a happy number.

39420864 is a `hidden beast` number, since 394 + 208 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10467 + ... + 13725.

Almost surely, 2^39420864 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 39420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66243200).

39420864 is an abundant number, since it is smaller than the sum of its proper divisors (93065536).

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

39420864 is a wasteful number, since it uses less digits than its factorization.

39420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 39420864 is about 6278.6036664214. The cubic root of 39420864 is about 340.3366446529.

It can be divided in two parts, 39 and 420864, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 39420864 in words is "thirty-nine million, four hundred twenty thousand, eight hundred sixty-four".