213002160 has 160 divisors (see below), whose sum is σ = 794472960. Its totient is φ = 46116864.

The previous prime is 213002159. The next prime is 213002161. The reversal of 213002160 is 61200312.

It is an interprime number because it is at equal distance from previous prime (213002159) and next prime (213002161).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213002161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28584 + ... + 35256.

It is an arithmetic number, because the mean of its divisors is an integer number (4965456).

Almost surely, 2^213002160 is an apocalyptic number.

213002160 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 213002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397236480).

213002160 is an abundant number, since it is smaller than the sum of its proper divisors (581470800).

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

213002160 is a wasteful number, since it uses less digits than its factorization.

213002160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213002160 is about 14594.5935195195. The cubic root of 213002160 is about 597.2112807113.

Adding to 213002160 its reverse (61200312), we get a palindrome (274202472).

The spelling of 213002160 in words is "two hundred thirteen million, two thousand, one hundred sixty".