11742480 has 120 divisors (see below), whose sum is σ = 40390272. Its totient is φ = 3055872.

The previous prime is 11742473. The next prime is 11742503. The reversal of 11742480 is 8424711.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33667 + ... + 34013.

Almost surely, 2^11742480 is an apocalyptic number.

11742480 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 11742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195136).

11742480 is an abundant number, since it is smaller than the sum of its proper divisors (28647792).

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

11742480 is a wasteful number, since it uses less digits than its factorization.

11742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11742480 is about 3426.7302199035. The cubic root of 11742480 is about 227.2932872552.

The spelling of 11742480 in words is "eleven million, seven hundred forty-two thousand, four hundred eighty".