40825680 has 160 divisors (see below), whose sum is σ = 152371200. Its totient is φ = 8833536.

The previous prime is 40825679. The next prime is 40825691. The reversal of 40825680 is 8652804.

It is a super-2 number, since 2×40825680² = 3333472294924800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31281 + ... + 32559.

It is an arithmetic number, because the mean of its divisors is an integer number (952320).

Almost surely, 2^40825680 is an apocalyptic number.

40825680 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 40825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76185600).

40825680 is an abundant number, since it is smaller than the sum of its proper divisors (111545520).

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

40825680 is a wasteful number, since it uses less digits than its factorization.

40825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 40825680 is about 6389.4976328347. The cubic root of 40825680 is about 344.3323361211.

The spelling of 40825680 in words is "forty million, eight hundred twenty-five thousand, six hundred eighty".