11688240 has 80 divisors (see below), whose sum is σ = 37426176. Its totient is φ = 3014400.

The previous prime is 11688221. The next prime is 11688251. The reversal of 11688240 is 4288611.

11688240 = 40² + 41² + ... + 327².

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11688240² = 273229908595200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11688198 and 11688207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6655 + ... + 8225.

Almost surely, 2^11688240 is an apocalyptic number.

11688240 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 11688240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713088).

11688240 is an abundant number, since it is smaller than the sum of its proper divisors (25737936).

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

11688240 is a wasteful number, since it uses less digits than its factorization.

11688240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11688240 is about 3418.8068094000. The cubic root of 11688240 is about 226.9427815445.

The spelling of 11688240 in words is "eleven million, six hundred eighty-eight thousand, two hundred forty".