10379840 has 56 divisors (see below), whose sum is σ = 24993600. Its totient is φ = 4105728.

The previous prime is 10379839. The next prime is 10379857. The reversal of 10379840 is 4897301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10379797 and 10379806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52061 + ... + 52259.

Almost surely, 2^10379840 is an apocalyptic number.

10379840 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 10379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496800).

10379840 is an abundant number, since it is smaller than the sum of its proper divisors (14613760).

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

10379840 is a wasteful number, since it uses less digits than its factorization.

10379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 10379840 is about 3221.7759077875. The cubic root of 10379840 is about 218.1374438376.

The spelling of 10379840 in words is "ten million, three hundred seventy-nine thousand, eight hundred forty".