40164720 has 80 divisors (see below), whose sum is σ = 125697312. Its totient is φ = 10608640.

The previous prime is 40164679. The next prime is 40164749. The reversal of 40164720 is 2746104.

40164720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40164720² = 3226409465356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26380 + ... + 27860.

Almost surely, 2^40164720 is an apocalyptic number.

40164720 is a gapful number since it is divisible by the number (40) 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 40164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62848656).

40164720 is an abundant number, since it is smaller than the sum of its proper divisors (85532592).

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

40164720 is a wasteful number, since it uses less digits than its factorization.

40164720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40164720 is about 6337.5642008582. The cubic root of 40164720 is about 342.4639918100.

The spelling of 40164720 in words is "forty million, one hundred sixty-four thousand, seven hundred twenty".