11457120 has 48 divisors (see below), whose sum is σ = 36091440. Its totient is φ = 3055104.

The previous prime is 11457109. The next prime is 11457157. The reversal of 11457120 is 2175411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11455 + ... + 12414.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 2^11457120 is an apocalyptic number.

11457120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11457120 is an abundant number, since it is smaller than the sum of its proper divisors (24634320).

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

11457120 is a wasteful number, since it uses less digits than its factorization.

11457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23887 (or 23879 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 11457120 is about 3384.8367759761. The cubic root of 11457120 is about 225.4369779456.

The spelling of 11457120 in words is "eleven million, four hundred fifty-seven thousand, one hundred twenty".