11964400 has 60 divisors (see below), whose sum is σ = 32858512. Its totient is φ = 4101120.

The previous prime is 11964397. The next prime is 11964409. The reversal of 11964400 is 446911.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11964409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664 + ... + 4936.

Almost surely, 2^11964400 is an apocalyptic number.

11964400 is a gapful number since it is divisible by the number (10) 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 11964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429256).

11964400 is an abundant number, since it is smaller than the sum of its proper divisors (20894112).

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

11964400 is a wasteful number, since it uses less digits than its factorization.

11964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 11964400 is about 3458.9593810856. The cubic root of 11964400 is about 228.7162252184.

The spelling of 11964400 in words is "eleven million, nine hundred sixty-four thousand, four hundred".