10509960 has 32 divisors (see below), whose sum is σ = 31530240. Its totient is φ = 2802624.

The previous prime is 10509949. The next prime is 10509971. The reversal of 10509960 is 6990501.

It is an interprime number because it is at equal distance from previous prime (10509949) and next prime (10509971).

It is a super-2 number, since 2×10509960² = 220918518403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43672 + ... + 43911.

It is an arithmetic number, because the mean of its divisors is an integer number (985320).

Almost surely, 2^10509960 is an apocalyptic number.

10509960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10509960 is an abundant number, since it is smaller than the sum of its proper divisors (21020280).

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

10509960 is a wasteful number, since it uses less digits than its factorization.

10509960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87597 (or 87593 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 10509960 is about 3241.9068462866. The cubic root of 10509960 is about 219.0451732256.

The spelling of 10509960 in words is "ten million, five hundred nine thousand, nine hundred sixty".