212961840 has 320 divisors, whose sum is σ = 833280000. Its totient is φ = 44706816.

The previous prime is 212961817. The next prime is 212961863. The reversal of 212961840 is 48169212.

It is an interprime number because it is at equal distance from previous prime (212961817) and next prime (212961863).

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 63 ways as a sum of consecutive naturals, for example, 1070061 + ... + 1070259.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2^212961840 is an apocalyptic number.

212961840 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 212961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640000).

212961840 is an abundant number, since it is smaller than the sum of its proper divisors (620318160).

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

212961840 is a wasteful number, since it uses less digits than its factorization.

212961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 212961840 is about 14593.2121207087. The cubic root of 212961840 is about 597.1735955249.

The spelling of 212961840 in words is "two hundred twelve million, nine hundred sixty-one thousand, eight hundred forty".