10364000 has 48 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 4144000.

The previous prime is 10363981. The next prime is 10364027. The reversal of 10364000 is 46301.

It is a super-3 number, since 3×10364000³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2705 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 2^10364000 is an apocalyptic number.

10364000 is a gapful number since it is divisible by the number (10) 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 10364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

10364000 is an abundant number, since it is smaller than the sum of its proper divisors (15110176).

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

10364000 is an equidigital number, since it uses as much as digits as its factorization.

10364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10364000 is about 3219.3166976860. The cubic root of 10364000 is about 218.0264255484.

The spelling of 10364000 in words is "ten million, three hundred sixty-four thousand".