11951280 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 2891520.

The previous prime is 11951263. The next prime is 11951287. The reversal of 11951280 is 8215911.

11951280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11951287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23509 + ... + 24011.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^11951280 is an apocalyptic number.

11951280 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 11951280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

11951280 is an abundant number, since it is smaller than the sum of its proper divisors (33045840).

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

11951280 is a wasteful number, since it uses less digits than its factorization.

11951280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11951280 is about 3457.0623367246. The cubic root of 11951280 is about 228.6325922626.

The spelling of 11951280 in words is "eleven million, nine hundred fifty-one thousand, two hundred eighty".