11476640 has 48 divisors (see below), whose sum is σ = 30989952. Its totient is φ = 3934464.

The previous prime is 11476637. The next prime is 11476643. The reversal of 11476640 is 4667411.

11476640 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11476637) and next prime (11476643).

11476640 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (11476643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4004 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (645624).

Almost surely, 2^11476640 is an apocalyptic number.

11476640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11476640 is an abundant number, since it is smaller than the sum of its proper divisors (19513312).

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

11476640 is a wasteful number, since it uses less digits than its factorization.

11476640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 11476640 is about 3387.7189966111. The cubic root of 11476640 is about 225.5649342746.

The spelling of 11476640 in words is "eleven million, four hundred seventy-six thousand, six hundred forty".