11631480 has 128 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 2603520.

The previous prime is 11631469. The next prime is 11631497. The reversal of 11631480 is 8413611.

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 11631480.

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, 51127 + ... + 51353.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^11631480 is an apocalyptic number.

11631480 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 11631480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

11631480 is an abundant number, since it is smaller than the sum of its proper divisors (29080200).

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

11631480 is a wasteful number, since it uses less digits than its factorization.

11631480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11631480 is about 3410.4955651635. The cubic root of 11631480 is about 226.5748282313.

The spelling of 11631480 in words is "eleven million, six hundred thirty-one thousand, four hundred eighty".