10765320 has 64 divisors (see below), whose sum is σ = 32512320. Its totient is φ = 2851584.

The previous prime is 10765319. The next prime is 10765331. The reversal of 10765320 is 2356701.

It is a super-2 number, since 2×10765320² = 231784229404800, which contains 22 as substring.

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

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, 33802 + ... + 34118.

It is an arithmetic number, because the mean of its divisors is an integer number (508005).

Almost surely, 2^10765320 is an apocalyptic number.

10765320 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 10765320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256160).

10765320 is an abundant number, since it is smaller than the sum of its proper divisors (21747000).

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

10765320 is a wasteful number, since it uses less digits than its factorization.

10765320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10765320 is about 3281.0547084741. The cubic root of 10765320 is about 220.8050395300.

The spelling of 10765320 in words is "ten million, seven hundred sixty-five thousand, three hundred twenty".