11578480 has 20 divisors (see below), whose sum is σ = 26920152. Its totient is φ = 4631360.

The previous prime is 11578459. The next prime is 11578487. The reversal of 11578480 is 8487511.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11578480² = 268122398220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11578487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72286 + ... + 72445.

Almost surely, 2^11578480 is an apocalyptic number.

11578480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11578480 is an abundant number, since it is smaller than the sum of its proper divisors (15341672).

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

11578480 is a wasteful number, since it uses less digits than its factorization.

11578480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144744 (or 144738 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 11578480 is about 3402.7165618076. The cubic root of 11578480 is about 226.2301672633.

The spelling of 11578480 in words is "eleven million, five hundred seventy-eight thousand, four hundred eighty".