10519920 has 120 divisors (see below), whose sum is σ = 37237200. Its totient is φ = 2654208.

The previous prime is 10519913. The next prime is 10519931. The reversal of 10519920 is 2991501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10519920² = 221337433612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13296 + ... + 14064.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 2^10519920 is an apocalyptic number.

10519920 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 10519920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618600).

10519920 is an abundant number, since it is smaller than the sum of its proper divisors (26717280).

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

10519920 is a wasteful number, since it uses less digits than its factorization.

10519920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 10519920 is about 3243.4426154936. The cubic root of 10519920 is about 219.1143457411.

The spelling of 10519920 in words is "ten million, five hundred nineteen thousand, nine hundred twenty".