10314864 has 120 divisors (see below), whose sum is σ = 34303360. Its totient is φ = 2939328.

The previous prime is 10314859. The next prime is 10314881. The reversal of 10314864 is 46841301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27027 + ... + 27405.

Almost surely, 2^10314864 is an apocalyptic number.

10314864 is a gapful number since it is divisible by the number (14) 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 10314864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151680).

10314864 is an abundant number, since it is smaller than the sum of its proper divisors (23988496).

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

10314864 is an equidigital number, since it uses as much as digits as its factorization.

10314864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10314864 is about 3211.6761978755. The cubic root of 10314864 is about 217.6813232294.

The spelling of 10314864 in words is "ten million, three hundred fourteen thousand, eight hundred sixty-four".