213723360 has 288 divisors, whose sum is σ = 792529920. Its totient is φ = 54286848.

The previous prime is 213723329. The next prime is 213723397. The reversal of 213723360 is 63327312.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894121 + ... + 894359.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^213723360 is an apocalyptic number.

213723360 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 213723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

213723360 is an abundant number, since it is smaller than the sum of its proper divisors (578806560).

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

213723360 is a wasteful number, since it uses less digits than its factorization.

213723360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 213723360 is about 14619.2804200480. The cubic root of 213723360 is about 597.8845502194.

The spelling of 213723360 in words is "two hundred thirteen million, seven hundred twenty-three thousand, three hundred sixty".