11432960 has 176 divisors, whose sum is σ = 35372160. Its totient is φ = 3440640.

The previous prime is 11432957. The next prime is 11432977. The reversal of 11432960 is 6923411.

11432960 = T₂₁₃₆ + T₂₁₃₇ + ... + T₂₁₄₀.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394226 + ... + 394254.

Almost surely, 2^11432960 is an apocalyptic number.

11432960 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 11432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

11432960 is an abundant number, since it is smaller than the sum of its proper divisors (23939200).

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

11432960 is a wasteful number, since it uses less digits than its factorization.

11432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 11432960 is about 3381.2660350821. The cubic root of 11432960 is about 225.2784043448.

The spelling of 11432960 in words is "eleven million, four hundred thirty-two thousand, nine hundred sixty".