40597920 has 216 divisors, whose sum is σ = 152933508. Its totient is φ = 9799680.

The previous prime is 40597811. The next prime is 40597937. The reversal of 40597920 is 2979504.

40597920 is a `hidden beast` number, since 40 + 597 + 9 + 20 = 666.

40597920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 2108304 = 6204^2 + 1452^2 .

It is a super-2 number, since 2×40597920² = 3296382216652800, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 174124 + ... + 174356.

Almost surely, 2^40597920 is an apocalyptic number.

40597920 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 40597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76466754).

40597920 is an abundant number, since it is smaller than the sum of its proper divisors (112335588).

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

40597920 is a wasteful number, since it uses less digits than its factorization.

40597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 40597920 is about 6371.6497078857. The cubic root of 40597920 is about 343.6908164776.

The spelling of 40597920 in words is "forty million, five hundred ninety-seven thousand, nine hundred twenty".