40164064 has 72 divisors (see below), whose sum is σ = 86802408. Its totient is φ = 18278400.

The previous prime is 40164041. The next prime is 40164067. The reversal of 40164064 is 46046104.

It is a super-2 number, since 2×40164064² = 3226304073992192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397614 + ... + 397714.

It is an arithmetic number, because the mean of its divisors is an integer number (1205589).

Almost surely, 2^40164064 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 40164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43401204).

40164064 is an abundant number, since it is smaller than the sum of its proper divisors (46638344).

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

40164064 is a wasteful number, since it uses less digits than its factorization.

40164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40164064 is about 6337.5124457471. The cubic root of 40164064 is about 342.4621273412.

The spelling of 40164064 in words is "forty million, one hundred sixty-four thousand, sixty-four".