10379776 has 80 divisors (see below), whose sum is σ = 24060960. Its totient is φ = 4423680.

The previous prime is 10379771. The next prime is 10379777. The reversal of 10379776 is 67797301.

It is not an unprimeable number, because it can be changed into a prime (10379771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106960 + ... + 107056.

It is an arithmetic number, because the mean of its divisors is an integer number (300762).

Almost surely, 2^10379776 is an apocalyptic number.

10379776 is a gapful number since it is divisible by the number (16) 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 10379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030480).

10379776 is an abundant number, since it is smaller than the sum of its proper divisors (13681184).

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

10379776 is an equidigital number, since it uses as much as digits as its factorization.

10379776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 40.

The square root of 10379776 is about 3221.7659753620. The cubic root of 10379776 is about 218.1369955062.

The spelling of 10379776 in words is "ten million, three hundred seventy-nine thousand, seven hundred seventy-six".