11790464 has 32 divisors (see below), whose sum is σ = 26846400. Its totient is φ = 5052672.

The previous prime is 11790463. The next prime is 11790481. The reversal of 11790464 is 46409711.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11790464.

It is not an unprimeable number, because it can be changed into a prime (11790463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5684 + ... + 7475.

It is an arithmetic number, because the mean of its divisors is an integer number (838950).

Almost surely, 2^11790464 is an apocalyptic number.

11790464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11790464 is an abundant number, since it is smaller than the sum of its proper divisors (15055936).

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

11790464 is an equidigital number, since it uses as much as digits as its factorization.

11790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13180 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 11790464 is about 3433.7245084602. The cubic root of 11790464 is about 227.6024672253.

The spelling of 11790464 in words is "eleven million, seven hundred ninety thousand, four hundred sixty-four".