212904960 has 176 divisors, whose sum is σ = 693294336. Its totient is φ = 55754752.

The previous prime is 212904947. The next prime is 212904961. The reversal of 212904960 is 69409212.

It is not an unprimeable number, because it can be changed into a prime (212904961) 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, 1274797 + ... + 1274963.

Almost surely, 2^212904960 is an apocalyptic number.

212904960 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 212904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346647168).

212904960 is an abundant number, since it is smaller than the sum of its proper divisors (480389376).

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

212904960 is a wasteful number, since it uses less digits than its factorization.

212904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

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

The square root of 212904960 is about 14591.2631392899. The cubic root of 212904960 is about 597.1204244048.

The spelling of 212904960 in words is "two hundred twelve million, nine hundred four thousand, nine hundred sixty".