10493760 has 112 divisors (see below), whose sum is σ = 35332416. Its totient is φ = 2629632.

The previous prime is 10493753. The next prime is 10493771. The reversal of 10493760 is 6739401.

It is a happy number.

It is a super-2 number, since 2×10493760² = 220237997875200, which contains 22 as substring.

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

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, 15999 + ... + 16641.

It is an arithmetic number, because the mean of its divisors is an integer number (315468).

Almost surely, 2^10493760 is an apocalyptic number.

10493760 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 10493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666208).

10493760 is an abundant number, since it is smaller than the sum of its proper divisors (24838656).

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

10493760 is a wasteful number, since it uses less digits than its factorization.

10493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 10493760 is about 3239.4073532052. The cubic root of 10493760 is about 218.9325703042.

The spelling of 10493760 in words is "ten million, four hundred ninety-three thousand, seven hundred sixty".