10379136 has 64 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 3417600.

The previous prime is 10379119. The next prime is 10379137. The reversal of 10379136 is 63197301.

10379136 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379137) 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, 57895 + ... + 58073.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^10379136 is an apocalyptic number.

10379136 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 10379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

10379136 is an abundant number, since it is smaller than the sum of its proper divisors (17528064).

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

10379136 is a wasteful number, since it uses less digits than its factorization.

10379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 10379136 is about 3221.6666494223. Note that the first 4 decimals coincide. The cubic root of 10379136 is about 218.1325120907.

The spelling of 10379136 in words is "ten million, three hundred seventy-nine thousand, one hundred thirty-six".