10913760 has 288 divisors, whose sum is σ = 44579808. Its totient is φ = 2396160.

The previous prime is 10913723. The next prime is 10913783. The reversal of 10913760 is 6731901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10913760² = 238220314675200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 205894 + ... + 205946.

It is an arithmetic number, because the mean of its divisors is an integer number (154791).

Almost surely, 2^10913760 is an apocalyptic number.

10913760 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 10913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

10913760 is an abundant number, since it is smaller than the sum of its proper divisors (33666048).

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

10913760 is a wasteful number, since it uses less digits than its factorization.

10913760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10913760 is about 3303.5980385029. The cubic root of 10913760 is about 221.8152834066.

It can be divided in two parts, 1091 and 3760, that added together give a triangular number (4851 = T₉₈).

The spelling of 10913760 in words is "ten million, nine hundred thirteen thousand, seven hundred sixty".