212958720 has 400 divisors, whose sum is σ = 831821760. Its totient is φ = 51757056.

The previous prime is 212958719. The next prime is 212958731. The reversal of 212958720 is 27859212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695641 + ... + 2695719.

Almost surely, 2^212958720 is an apocalyptic number.

212958720 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 212958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415910880).

212958720 is an abundant number, since it is smaller than the sum of its proper divisors (618863040).

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

212958720 is an equidigital number, since it uses as much as digits as its factorization.

212958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 212958720 is about 14593.1052213023. The cubic root of 212958720 is about 597.1706792110.

The spelling of 212958720 in words is "two hundred twelve million, nine hundred fifty-eight thousand, seven hundred twenty".