11765040 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 2614272.

The previous prime is 11765023. The next prime is 11765051. The reversal of 11765040 is 4056711.

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 11765040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78886 + ... + 79034.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^11765040 is an apocalyptic number.

11765040 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 11765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

11765040 is an abundant number, since it is smaller than the sum of its proper divisors (31089360).

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

11765040 is a wasteful number, since it uses less digits than its factorization.

11765040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11765040 is about 3430.0204081026. The cubic root of 11765040 is about 227.4387549987.

It can be divided in two parts, 1176 and 5040, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 11765040 in words is "eleven million, seven hundred sixty-five thousand, forty".