11537040 has 80 divisors (see below), whose sum is σ = 36479808. Its totient is φ = 3015168.

The previous prime is 11537023. The next prime is 11537059. The reversal of 11537040 is 4073511.

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

It is a junction number, because it is equal to n+sod(n) for n = 11536998 and 11537016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12267 + ... + 13173.

Almost surely, 2^11537040 is an apocalyptic number.

11537040 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 11537040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18239904).

11537040 is an abundant number, since it is smaller than the sum of its proper divisors (24942768).

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

11537040 is a wasteful number, since it uses less digits than its factorization.

11537040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 11537040 is about 3396.6218511927. The cubic root of 11537040 is about 225.9599480019.

The spelling of 11537040 in words is "eleven million, five hundred thirty-seven thousand, forty".