212629620 has 144 divisors (see below), whose sum is σ = 715212288. Its totient is φ = 47013120.

The previous prime is 212629619. The next prime is 212629631. The reversal of 212629620 is 26926212.

212629620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212629620² = 90422710602688800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 89974 + ... + 92306.

It is an arithmetic number, because the mean of its divisors is an integer number (4966752).

Almost surely, 2^212629620 is an apocalyptic number.

212629620 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 212629620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357606144).

212629620 is an abundant number, since it is smaller than the sum of its proper divisors (502582668).

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

212629620 is a wasteful number, since it uses less digits than its factorization.

212629620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 212629620 is about 14581.8249886631. The cubic root of 212629620 is about 596.8629040795.

The spelling of 212629620 in words is "two hundred twelve million, six hundred twenty-nine thousand, six hundred twenty".