40584960 has 216 divisors, whose sum is σ = 151779264. Its totient is φ = 9953280.

The previous prime is 40584959. The next prime is 40584961. The reversal of 40584960 is 6948504.

It is an interprime number because it is at equal distance from previous prime (40584959) and next prime (40584961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40584961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149625 + ... + 149895.

Almost surely, 2^40584960 is an apocalyptic number.

40584960 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 40584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75889632).

40584960 is an abundant number, since it is smaller than the sum of its proper divisors (111194304).

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

40584960 is a wasteful number, since it uses less digits than its factorization.

40584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40584960 is about 6370.6326216476. The cubic root of 40584960 is about 343.6542406544.

The spelling of 40584960 in words is "forty million, five hundred eighty-four thousand, nine hundred sixty".