212016840 has 64 divisors (see below), whose sum is σ = 726917760. Its totient is φ = 48460800.

The previous prime is 212016821. The next prime is 212016841. The reversal of 212016840 is 48610212.

It is a super-2 number, since 2×212016840² = 89902280887171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212016840.

It is not an unprimeable number, because it can be changed into a prime (212016841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 125361 + ... + 127040.

It is an arithmetic number, because the mean of its divisors is an integer number (11358090).

Almost surely, 2^212016840 is an apocalyptic number.

212016840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212016840 is an abundant number, since it is smaller than the sum of its proper divisors (514900920).

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

212016840 is a wasteful number, since it uses less digits than its factorization.

212016840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252422 (or 252418 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 212016840 is about 14560.7980550518. The cubic root of 212016840 is about 596.2889834705.

The spelling of 212016840 in words is "two hundred twelve million, sixteen thousand, eight hundred forty".