10379520 has 216 divisors, whose sum is σ = 38741976. Its totient is φ = 2555904.

The previous prime is 10379483. The next prime is 10379543. The reversal of 10379520 is 2597301.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 7225344 = 1776^2 + 2688^2 .

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, 195814 + ... + 195866.

It is an arithmetic number, because the mean of its divisors is an integer number (179361).

Almost surely, 2^10379520 is an apocalyptic number.

10379520 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 10379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19370988).

10379520 is an abundant number, since it is smaller than the sum of its proper divisors (28362456).

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

10379520 is a wasteful number, since it uses less digits than its factorization.

10379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10379520 is about 3221.7262453536. The cubic root of 10379520 is about 218.1352021621.

The spelling of 10379520 in words is "ten million, three hundred seventy-nine thousand, five hundred twenty".