11639040 has 144 divisors (see below), whose sum is σ = 42580608. Its totient is φ = 2654208.

The previous prime is 11639029. The next prime is 11639051. The reversal of 11639040 is 4093611.

It is an interprime number because it is at equal distance from previous prime (11639029) and next prime (11639051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11639040.

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, 26664 + ... + 27096.

Almost surely, 2^11639040 is an apocalyptic number.

11639040 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 11639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290304).

11639040 is an abundant number, since it is smaller than the sum of its proper divisors (30941568).

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

11639040 is an equidigital number, since it uses as much as digits as its factorization.

11639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11639040 is about 3411.6037284538. The cubic root of 11639040 is about 226.6239058129.

The spelling of 11639040 in words is "eleven million, six hundred thirty-nine thousand, forty".