11954880 has 168 divisors, whose sum is σ = 47073312. Its totient is φ = 2727936.

The previous prime is 11954867. The next prime is 11954897. The reversal of 11954880 is 8845911.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19864 + ... + 20456.

Almost surely, 2^11954880 is an apocalyptic number.

11954880 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 11954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23536656).

11954880 is an abundant number, since it is smaller than the sum of its proper divisors (35118432).

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

11954880 is a wasteful number, since it uses less digits than its factorization.

11954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11954880 is about 3457.5829708049. The cubic root of 11954880 is about 228.6555464205.

The spelling of 11954880 in words is "eleven million, nine hundred fifty-four thousand, eight hundred eighty".