11501040 has 80 divisors (see below), whose sum is σ = 35988768. Its totient is φ = 3038208.

The previous prime is 11501029. The next prime is 11501051. The reversal of 11501040 is 4010511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11501029) and next prime (11501051).

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 41382 + ... + 41658.

Almost surely, 2^11501040 is an apocalyptic number.

11501040 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 11501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994384).

11501040 is an abundant number, since it is smaller than the sum of its proper divisors (24487728).

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

11501040 is a wasteful number, since it uses less digits than its factorization.

11501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11501040 is about 3391.3183277304. The cubic root of 11501040 is about 225.7246758175.

11501040 divided by its sum of digits (12) gives a triangular number (958420 = T₁₃₈₄).

Adding to 11501040 its reverse (4010511), we get a palindrome (15511551).

The spelling of 11501040 in words is "eleven million, five hundred one thousand, forty".