11464416 has 60 divisors (see below), whose sum is σ = 33724152. Its totient is φ = 3820608.

The previous prime is 11464399. The next prime is 11464423. The reversal of 11464416 is 61446411.

11464416 is a `hidden beast` number, since 1 + 1 + 4 + 644 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11464416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 381 + ... + 4803.

Almost surely, 2^11464416 is an apocalyptic number.

11464416 is a gapful number since it is divisible by the number (16) 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 11464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16862076).

11464416 is an abundant number, since it is smaller than the sum of its proper divisors (22259736).

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

11464416 is an equidigital number, since it uses as much as digits as its factorization.

11464416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4428 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11464416 is about 3385.9143521359. The cubic root of 11464416 is about 225.4848212424.

The spelling of 11464416 in words is "eleven million, four hundred sixty-four thousand, four hundred sixteen".