212292960 has 192 divisors, whose sum is σ = 753629184. Its totient is φ = 49766400.

The previous prime is 212292959. The next prime is 212292973. The reversal of 212292960 is 69292212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163032 + ... + 164328.

It is an arithmetic number, because the mean of its divisors is an integer number (3925152).

Almost surely, 2^212292960 is an apocalyptic number.

212292960 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 212292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376814592).

212292960 is an abundant number, since it is smaller than the sum of its proper divisors (541336224).

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

212292960 is a wasteful number, since it uses less digits than its factorization.

212292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 212292960 is about 14570.2765931193. The cubic root of 212292960 is about 596.5477300394.

The spelling of 212292960 in words is "two hundred twelve million, two hundred ninety-two thousand, nine hundred sixty".