213763760 has 80 divisors (see below), whose sum is σ = 574516800. Its totient is φ = 72450048.

The previous prime is 213763687. The next prime is 213763777. The reversal of 213763760 is 67367312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 213763760.

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, 47696 + ... + 51984.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^213763760 is an apocalyptic number.

213763760 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 213763760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

213763760 is an abundant number, since it is smaller than the sum of its proper divisors (360753040).

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

213763760 is a wasteful number, since it uses less digits than its factorization.

213763760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 213763760 is about 14620.6620917112. The cubic root of 213763760 is about 597.9222204332.

The spelling of 213763760 in words is "two hundred thirteen million, seven hundred sixty-three thousand, seven hundred sixty".