11400192 has 66 divisors (see below), whose sum is σ = 32944418. Its totient is φ = 3796992.

The previous prime is 11400131. The next prime is 11400199. The reversal of 11400192 is 29100411.

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 746496 = 3264^2 + 864^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8598 + ... + 9834.

Almost surely, 2^11400192 is an apocalyptic number.

11400192 is a gapful number since it is divisible by the number (12) 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 11400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472209).

11400192 is an abundant number, since it is smaller than the sum of its proper divisors (21544226).

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

11400192 is a wasteful number, since it uses less digits than its factorization.

11400192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11400192 is about 3376.4170358532. The cubic root of 11400192 is about 225.0629749650.

The spelling of 11400192 in words is "eleven million, four hundred thousand, one hundred ninety-two".