11642400 has 432 divisors, whose sum is σ = 53434080. Its totient is φ = 2419200.

The previous prime is 11642387. The next prime is 11642419. The reversal of 11642400 is 424611.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1058395 + ... + 1058405.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 2^11642400 is an apocalyptic number.

11642400 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 11642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

11642400 is an abundant number, since it is smaller than the sum of its proper divisors (41791680).

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

11642400 is a wasteful number, since it uses less digits than its factorization.

11642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11642400 is about 3412.0961299471. The cubic root of 11642400 is about 226.6457112500.

It can be divided in two parts, 11 and 642400, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 11642400 in words is "eleven million, six hundred forty-two thousand, four hundred".