212912960 has 168 divisors, whose sum is σ = 571170816. Its totient is φ = 75479040.

The previous prime is 212912957. The next prime is 212912977. The reversal of 212912960 is 69219212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676417 + ... + 1676543.

Almost surely, 2^212912960 is an apocalyptic number.

212912960 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 212912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285585408).

212912960 is an abundant number, since it is smaller than the sum of its proper divisors (358257856).

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

212912960 is a wasteful number, since it uses less digits than its factorization.

212912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 212912960 is about 14591.5372733650. The cubic root of 212912960 is about 597.1279033343.

The spelling of 212912960 in words is "two hundred twelve million, nine hundred twelve thousand, nine hundred sixty".