11956480 has 36 divisors (see below), whose sum is σ = 28642572. Its totient is φ = 4782080.

The previous prime is 11956459. The next prime is 11956489. The reversal of 11956480 is 8465911.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 8020224 = 1984^2 + 2832^2 .

It is not an unprimeable number, because it can be changed into a prime (11956489) 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, 3391 + ... + 5950.

It is an arithmetic number, because the mean of its divisors is an integer number (795627).

Almost surely, 2^11956480 is an apocalyptic number.

11956480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11956480 is an abundant number, since it is smaller than the sum of its proper divisors (16686092).

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

11956480 is an frugal number, since it uses more digits than its factorization.

11956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 11956480 is about 3457.8143385671. The cubic root of 11956480 is about 228.6657467893.

The spelling of 11956480 in words is "eleven million, nine hundred fifty-six thousand, four hundred eighty".