10356864 has 64 divisors (see below), whose sum is σ = 31448640. Its totient is φ = 2958336.

The previous prime is 10356833. The next prime is 10356901. The reversal of 10356864 is 46865301.

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

It is a super-3 number, since 3×10356864³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762 + ... + 4614.

It is an arithmetic number, because the mean of its divisors is an integer number (491385).

Almost surely, 2^10356864 is an apocalyptic number.

10356864 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 10356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724320).

10356864 is an abundant number, since it is smaller than the sum of its proper divisors (21091776).

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

10356864 is an equidigital number, since it uses as much as digits as its factorization.

10356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 10356864 is about 3218.2081971184. The cubic root of 10356864 is about 217.9763742878.

The spelling of 10356864 in words is "ten million, three hundred fifty-six thousand, eight hundred sixty-four".