40088960 has 32 divisors (see below), whose sum is σ = 95839200. Its totient is φ = 16035328.

The previous prime is 40088957. The next prime is 40088963. The reversal of 40088960 is 6988004.

It is an interprime number because it is at equal distance from previous prime (40088957) and next prime (40088963).

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40088960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40088963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30680 + ... + 31959.

It is an arithmetic number, because the mean of its divisors is an integer number (2994975).

Almost surely, 2^40088960 is an apocalyptic number.

40088960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40088960 is an abundant number, since it is smaller than the sum of its proper divisors (55750240).

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

40088960 is an equidigital number, since it uses as much as digits as its factorization.

40088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62658 (or 62646 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 40088960 is about 6331.5843198997. The cubic root of 40088960 is about 342.2485340489.

The spelling of 40088960 in words is "forty million, eighty-eight thousand, nine hundred sixty".