11490864 has 80 divisors (see below), whose sum is σ = 37021440. Its totient is φ = 2983680.

The previous prime is 11490859. The next prime is 11490887. The reversal of 11490864 is 46809411.

11490864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2142 + ... + 5250.

It is an arithmetic number, because the mean of its divisors is an integer number (462768).

Almost surely, 2^11490864 is an apocalyptic number.

11490864 is a gapful number since it is divisible by the number (14) 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 11490864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18510720).

11490864 is an abundant number, since it is smaller than the sum of its proper divisors (25530576).

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

11490864 is a wasteful number, since it uses less digits than its factorization.

11490864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 11490864 is about 3389.8176942131. The cubic root of 11490864 is about 225.6580832287.

The spelling of 11490864 in words is "eleven million, four hundred ninety thousand, eight hundred sixty-four".