40593960 has 320 divisors, whose sum is σ = 159952320. Its totient is φ = 9123840.

The previous prime is 40593953. The next prime is 40593961. The reversal of 40593960 is 6939504.

40593960 is a `hidden beast` number, since 4 + 0 + 593 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40593961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 605847 + ... + 605913.

It is an arithmetic number, because the mean of its divisors is an integer number (499851).

Almost surely, 2^40593960 is an apocalyptic number.

40593960 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 40593960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79976160).

40593960 is an abundant number, since it is smaller than the sum of its proper divisors (119358360).

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

40593960 is a wasteful number, since it uses less digits than its factorization.

40593960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 40593960 is about 6371.3389487611. The cubic root of 40593960 is about 343.6796413576.

The spelling of 40593960 in words is "forty million, five hundred ninety-three thousand, nine hundred sixty".