10757920 has 48 divisors (see below), whose sum is σ = 25800768. Its totient is φ = 4238080.

The previous prime is 10757911. The next prime is 10757953. The reversal of 10757920 is 2975701.

It is a congruent number.

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, 10887 + ... + 11833.

It is an arithmetic number, because the mean of its divisors is an integer number (537516).

Almost surely, 2^10757920 is an apocalyptic number.

10757920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10757920 is the 1894-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900384).

10757920 is an abundant number, since it is smaller than the sum of its proper divisors (15042848).

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

10757920 is an equidigital number, since it uses as much as digits as its factorization.

10757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 10757920 is about 3279.9268284521. The cubic root of 10757920 is about 220.7544346920.

The spelling of 10757920 in words is "ten million, seven hundred fifty-seven thousand, nine hundred twenty".