10791600 has 180 divisors, whose sum is σ = 38263176. Its totient is φ = 2590720.

The previous prime is 10791589. The next prime is 10791607. The reversal of 10791600 is 619701.

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

It is not an unprimeable number, because it can be changed into a prime (10791607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469189 + ... + 469211.

Almost surely, 2^10791600 is an apocalyptic number.

10791600 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 10791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131588).

10791600 is an abundant number, since it is smaller than the sum of its proper divisors (27471576).

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

10791600 is a wasteful number, since it uses less digits than its factorization.

10791600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 10791600 is about 3285.0570771297. The cubic root of 10791600 is about 220.9845678979.

The spelling of 10791600 in words is "ten million, seven hundred ninety-one thousand, six hundred".