11383680 has 288 divisors, whose sum is σ = 46395720. Its totient is φ = 2365440.

The previous prime is 11383657. The next prime is 11383703. The reversal of 11383680 is 8638311.

11383680 = 70² + 71² + ... + 325².

It is an interprime number because it is at equal distance from previous prime (11383657) and next prime (11383703).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1034875 + ... + 1034885.

Almost surely, 2^11383680 is an apocalyptic number.

11383680 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 11383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23197860).

11383680 is an abundant number, since it is smaller than the sum of its proper divisors (35012040).

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

11383680 is a wasteful number, since it uses less digits than its factorization.

11383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 11383680 is about 3373.9709542318. The cubic root of 11383680 is about 224.9542623081.

Multiplying 11383680 by its sum of digits (30), we get a square (341510400 = 18480²).

11383680 divided by its sum of digits (30) gives a square (379456 = 616²).

The spelling of 11383680 in words is "eleven million, three hundred eighty-three thousand, six hundred eighty".