10472960 has 40 divisors (see below), whose sum is σ = 25116696. Its totient is φ = 4188160.

The previous prime is 10472929. The next prime is 10472983. The reversal of 10472960 is 6927401.

It is a tau number, because it is divible by the number of its divisors (40).

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 3 ways as a sum of consecutive naturals, for example, 515 + ... + 4605.

Almost surely, 2^10472960 is an apocalyptic number.

10472960 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 10472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558348).

10472960 is an abundant number, since it is smaller than the sum of its proper divisors (14643736).

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

10472960 is an frugal number, since it uses more digits than its factorization.

10472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10472960 is about 3236.1952969498. The cubic root of 10472960 is about 218.7878236637.

The spelling of 10472960 in words is "ten million, four hundred seventy-two thousand, nine hundred sixty".