11634480 has 240 divisors, whose sum is σ = 46309536. Its totient is φ = 2580480.

The previous prime is 11634473. The next prime is 11634533. The reversal of 11634480 is 8443611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11634480² = 270722249740800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102904 + ... + 103016.

Almost surely, 2^11634480 is an apocalyptic number.

11634480 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 11634480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

11634480 is an abundant number, since it is smaller than the sum of its proper divisors (34675056).

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

11634480 is a wasteful number, since it uses less digits than its factorization.

11634480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11634480 is about 3410.9353555880. The cubic root of 11634480 is about 226.5943060064.

It can be divided in two parts, 116 and 34480, that added together give a square (34596 = 186²).

The spelling of 11634480 in words is "eleven million, six hundred thirty-four thousand, four hundred eighty".