10368000 has 220 divisors, whose sum is σ = 38639172. Its totient is φ = 2764800.

The previous prime is 10367969. The next prime is 10368037. The reversal of 10368000 is 86301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)².

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 10036224 = 576^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2073598 + ... + 2073602.

Almost surely, 2^10368000 is an apocalyptic number.

10368000 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 10368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319586).

10368000 is an abundant number, since it is smaller than the sum of its proper divisors (28271172).

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

10368000 is an frugal number, since it uses more digits than its factorization.

10368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10368000 is about 3219.9378875997. The cubic root of 10368000 is about 218.0544711399.

The spelling of 10368000 in words is "ten million, three hundred sixty-eight thousand".