10825920 has 224 divisors, whose sum is σ = 43891200. Its totient is φ = 2460672.

The previous prime is 10825909. The next prime is 10825937. The reversal of 10825920 is 2952801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60391 + ... + 60569.

Almost surely, 2^10825920 is an apocalyptic number.

10825920 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 10825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945600).

10825920 is an abundant number, since it is smaller than the sum of its proper divisors (33065280).

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

10825920 is a wasteful number, since it uses less digits than its factorization.

10825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10825920 is about 3290.2765841187. The cubic root of 10825920 is about 221.2185821519.

10825920 divided by its sum of digits (27) gives a triangular number (400960 = T₈₉₅).

The spelling of 10825920 in words is "ten million, eight hundred twenty-five thousand, nine hundred twenty".