213736320 has 640 divisors, whose sum is σ = 947865600. Its totient is φ = 44789760.

The previous prime is 213736319. The next prime is 213736337. The reversal of 213736320 is 23637312.

213736320 is a `hidden beast` number, since 21 + 3 + 7 + 3 + 632 + 0 = 666.

213736320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894705 + ... + 6894735.

It is an arithmetic number, because the mean of its divisors is an integer number (1481040).

Almost surely, 2^213736320 is an apocalyptic number.

213736320 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 213736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473932800).

213736320 is an abundant number, since it is smaller than the sum of its proper divisors (734129280).

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

213736320 is a wasteful number, since it uses less digits than its factorization.

213736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

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

The square root of 213736320 is about 14619.7236635991. The cubic root of 213736320 is about 597.8966350427.

The spelling of 213736320 in words is "two hundred thirteen million, seven hundred thirty-six thousand, three hundred twenty".