11854640 has 40 divisors (see below), whose sum is σ = 31500960. Its totient is φ = 4064256.

The previous prime is 11854607. The next prime is 11854681. The reversal of 11854640 is 4645811.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10025 + ... + 11144.

It is an arithmetic number, because the mean of its divisors is an integer number (787524).

Almost surely, 2^11854640 is an apocalyptic number.

11854640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11854640 is an abundant number, since it is smaller than the sum of its proper divisors (19646320).

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

11854640 is a wasteful number, since it uses less digits than its factorization.

11854640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21189 (or 21183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 11854640 is about 3443.0567814081. The cubic root of 11854640 is about 228.0146702369.

The spelling of 11854640 in words is "eleven million, eight hundred fifty-four thousand, six hundred forty".