212536320 has 176 divisors, whose sum is σ = 691525728. Its totient is φ = 55705600.

The previous prime is 212536297. The next prime is 212536321. The reversal of 212536320 is 23635212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212536321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551292 + ... + 1551428.

Almost surely, 2^212536320 is an apocalyptic number.

212536320 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 212536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345762864).

212536320 is an abundant number, since it is smaller than the sum of its proper divisors (478989408).

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

212536320 is a wasteful number, since it uses less digits than its factorization.

212536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 212536320 is about 14578.6254496094. The cubic root of 212536320 is about 596.7755919167.

The spelling of 212536320 in words is "two hundred twelve million, five hundred thirty-six thousand, three hundred twenty".