212945160 has 128 divisors (see below), whose sum is σ = 684288000. Its totient is φ = 52851456.

The previous prime is 212945147. The next prime is 212945171. The reversal of 212945160 is 61549212.

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, 133729 + ... + 135311.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2^212945160 is an apocalyptic number.

212945160 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 212945160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342144000).

212945160 is an abundant number, since it is smaller than the sum of its proper divisors (471342840).

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

212945160 is a wasteful number, since it uses less digits than its factorization.

212945160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 212945160 is about 14592.6406109381. The cubic root of 212945160 is about 597.1580041312.

The spelling of 212945160 in words is "two hundred twelve million, nine hundred forty-five thousand, one hundred sixty".