11962880 has 40 divisors (see below), whose sum is σ = 28689012. Its totient is φ = 4784128.

The previous prime is 11962823. The next prime is 11962943. The reversal of 11962880 is 8826911.

It can be written as a sum of positive squares in 2 ways, for example, as 11397376 + 565504 = 3376^2 + 752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11962880² = 286220995788800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11962880.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224 + ... + 4896.

Almost surely, 2^11962880 is an apocalyptic number.

11962880 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 11962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344506).

11962880 is an abundant number, since it is smaller than the sum of its proper divisors (16726132).

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

11962880 is an frugal number, since it uses more digits than its factorization.

11962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 11962880 is about 3458.7396548454. The cubic root of 11962880 is about 228.7065391668.

The spelling of 11962880 in words is "eleven million, nine hundred sixty-two thousand, eight hundred eighty".