212752960 has 224 divisors, whose sum is σ = 633788928. Its totient is φ = 66355200.

The previous prime is 212752919. The next prime is 212752963. The reversal of 212752960 is 69257212.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (212752963) 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, 1408885 + ... + 1409035.

Almost surely, 2^212752960 is an apocalyptic number.

212752960 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 212752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316894464).

212752960 is an abundant number, since it is smaller than the sum of its proper divisors (421035968).

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

212752960 is a wasteful number, since it uses less digits than its factorization.

212752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 212752960 is about 14586.0536129551. The cubic root of 212752960 is about 596.9782891339.

The spelling of 212752960 in words is "two hundred twelve million, seven hundred fifty-two thousand, nine hundred sixty".