40658080 has 72 divisors (see below), whose sum is σ = 99048852. Its totient is φ = 15768576.

The previous prime is 40658071. The next prime is 40658083. The reversal of 40658080 is 8085604.

40658080 = 710² + 711² + ... + 782².

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 55696 = 6372^2 + 236^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40658083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556924 + ... + 556996.

Almost surely, 2^40658080 is an apocalyptic number.

40658080 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 40658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49524426).

40658080 is an abundant number, since it is smaller than the sum of its proper divisors (58390772).

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

40658080 is an equidigital number, since it uses as much as digits as its factorization.

40658080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 40658080 is about 6376.3688726422. The cubic root of 40658080 is about 343.8604986912.

The spelling of 40658080 in words is "forty million, six hundred fifty-eight thousand, eighty".