40648100 has 18 divisors (see below), whose sum is σ = 88206594. Its totient is φ = 16259200.

The previous prime is 40648093. The next prime is 40648213. The reversal of 40648100 is 184604.

It is a happy number.

40648100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 40475044 = 416^2 + 6362^2 .

It is a super-2 number, since 2×40648100² = 3304536067220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203141 + ... + 203340.

Almost surely, 2^40648100 is an apocalyptic number.

It is an amenable number.

40648100 is an abundant number, since it is smaller than the sum of its proper divisors (47558494).

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

40648100 is a wasteful number, since it uses less digits than its factorization.

40648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406495 (or 406488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 40648100 is about 6375.5862475540. The cubic root of 40648100 is about 343.8323615321.

The spelling of 40648100 in words is "forty million, six hundred forty-eight thousand, one hundred".