11292480 has 112 divisors (see below), whose sum is σ = 39867840. Its totient is φ = 3009024.

The previous prime is 11292473. The next prime is 11292481. The reversal of 11292480 is 8429211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11292481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7987 + ... + 9293.

Almost surely, 2^11292480 is an apocalyptic number.

11292480 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 11292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933920).

11292480 is an abundant number, since it is smaller than the sum of its proper divisors (28575360).

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

11292480 is a wasteful number, since it uses less digits than its factorization.

11292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11292480 is about 3360.4285440997. The cubic root of 11292480 is about 224.3519128279.

The spelling of 11292480 in words is "eleven million, two hundred ninety-two thousand, four hundred eighty".