10959120 has 120 divisors (see below), whose sum is σ = 38068992. Its totient is φ = 2822400.

The previous prime is 10959107. The next prime is 10959133. The reversal of 10959120 is 2195901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10959107) and next prime (10959133).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10959120² = 240204622348800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22075 + ... + 22565.

Almost surely, 2^10959120 is an apocalyptic number.

10959120 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 10959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034496).

10959120 is an abundant number, since it is smaller than the sum of its proper divisors (27109872).

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

10959120 is a wasteful number, since it uses less digits than its factorization.

10959120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 10959120 is about 3310.4561619209. The cubic root of 10959120 is about 222.1221631017.

The spelling of 10959120 in words is "ten million, nine hundred fifty-nine thousand, one hundred twenty".