10509720 has 64 divisors (see below), whose sum is σ = 33959520. Its totient is φ = 2586624.

The previous prime is 10509703. The next prime is 10509773. The reversal of 10509720 is 2790501.

10509720 = T₁₇₅ + T₁₇₆ + ... + T₄₀₈.

It is a super-2 number, since 2×10509720² = 220908428956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1809 + ... + 4928.

Almost surely, 2^10509720 is an apocalyptic number.

10509720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10509720 is an abundant number, since it is smaller than the sum of its proper divisors (23449800).

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

10509720 is a wasteful number, since it uses less digits than its factorization.

10509720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10509720 is about 3241.8698308229. The cubic root of 10509720 is about 219.0435058789.

The spelling of 10509720 in words is "ten million, five hundred nine thousand, seven hundred twenty".