10379216 has 20 divisors (see below), whose sum is σ = 20804100. Its totient is φ = 5010432.

The previous prime is 10379209. The next prime is 10379251. The reversal of 10379216 is 61297301.

It can be written as a sum of positive squares in 2 ways, for example, as 5107600 + 5271616 = 2260^2 + 2296^2 .

It is a super-3 number, since 3×10379216³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10721 + ... + 11648.

It is an arithmetic number, because the mean of its divisors is an integer number (1040205).

Almost surely, 2^10379216 is an apocalyptic number.

10379216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10379216 is an abundant number, since it is smaller than the sum of its proper divisors (10424884).

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

10379216 is a wasteful number, since it uses less digits than its factorization.

10379216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22406 (or 22400 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 10379216 is about 3221.6790653322. The cubic root of 10379216 is about 218.1330725277.

The spelling of 10379216 in words is "ten million, three hundred seventy-nine thousand, two hundred sixteen".