40582880 has 96 divisors (see below), whose sum is σ = 104781600. Its totient is φ = 14764032.

The previous prime is 40582877. The next prime is 40582889. The reversal of 40582880 is 8828504.

It is a self number, because there is not a number n which added to its sum of digits gives 40582880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40582889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226631 + ... + 226809.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475).

Almost surely, 2^40582880 is an apocalyptic number.

40582880 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 40582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52390800).

40582880 is an abundant number, since it is smaller than the sum of its proper divisors (64198720).

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

40582880 is a wasteful number, since it uses less digits than its factorization.

40582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 40582880 is about 6370.4693704624. The cubic root of 40582880 is about 343.6483697354.

The spelling of 40582880 in words is "forty million, five hundred eighty-two thousand, eight hundred eighty".