213173760 has 160 divisors (see below), whose sum is σ = 699142752. Its totient is φ = 55377920.

The previous prime is 213173743. The next prime is 213173813. The reversal of 213173760 is 67371312.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 314542 + ... + 315218.

Almost surely, 2^213173760 is an apocalyptic number.

213173760 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 213173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349571376).

213173760 is an abundant number, since it is smaller than the sum of its proper divisors (485968992).

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

213173760 is an equidigital number, since it uses as much as digits as its factorization.

213173760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 213173760 is about 14600.4712252721. The cubic root of 213173760 is about 597.3716139016.

The spelling of 213173760 in words is "two hundred thirteen million, one hundred seventy-three thousand, seven hundred sixty".