213098160 has 160 divisors (see below), whose sum is σ = 734738688. Its totient is φ = 50652160.

The previous prime is 213098159. The next prime is 213098173. The reversal of 213098160 is 61890312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139159 + ... + 140681.

Almost surely, 2^213098160 is an apocalyptic number.

213098160 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 213098160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367369344).

213098160 is an abundant number, since it is smaller than the sum of its proper divisors (521640528).

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

213098160 is a wasteful number, since it uses less digits than its factorization.

213098160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 213098160 is about 14597.8820381588. The cubic root of 213098160 is about 597.3009882084.

The spelling of 213098160 in words is "two hundred thirteen million, ninety-eight thousand, one hundred sixty".