213648000 has 128 divisors (see below), whose sum is σ = 708402240. Its totient is φ = 56960000.

The previous prime is 213647969. The next prime is 213648011. The reversal of 213648000 is 846312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45775 + ... + 50225.

Almost surely, 2^213648000 is an apocalyptic number.

213648000 is a gapful number since it is divisible by the number (20) 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 213648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354201120).

213648000 is an abundant number, since it is smaller than the sum of its proper divisors (494754240).

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

213648000 is an equidigital number, since it uses as much as digits as its factorization.

213648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 213648000 is about 14616.7027745658. The cubic root of 213648000 is about 597.8142695281.

The spelling of 213648000 in words is "two hundred thirteen million, six hundred forty-eight thousand".