212161620 has 96 divisors (see below), whose sum is σ = 650353536. Its totient is φ = 51251200.

The previous prime is 212161603. The next prime is 212161627. The reversal of 212161620 is 26161212.

212161620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212161627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343552 + ... + 344168.

It is an arithmetic number, because the mean of its divisors is an integer number (6774516).

Almost surely, 2^212161620 is an apocalyptic number.

212161620 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 212161620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325176768).

212161620 is an abundant number, since it is smaller than the sum of its proper divisors (438191916).

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

212161620 is a wasteful number, since it uses less digits than its factorization.

212161620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 212161620 is about 14565.7687747678. The cubic root of 212161620 is about 596.4246819298.

The spelling of 212161620 in words is "two hundred twelve million, one hundred sixty-one thousand, six hundred twenty".