212814840 has 192 divisors, whose sum is σ = 786736800. Its totient is φ = 45760512.

The previous prime is 212814827. The next prime is 212814853. The reversal of 212814840 is 48418212.

It is an interprime number because it is at equal distance from previous prime (212814827) and next prime (212814853).

It is a super-2 number, since 2×212814840² = 90580312248451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 212814798 and 212814807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98896 + ... + 101024.

Almost surely, 2^212814840 is an apocalyptic number.

212814840 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 212814840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393368400).

212814840 is an abundant number, since it is smaller than the sum of its proper divisors (573921960).

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

212814840 is a wasteful number, since it uses less digits than its factorization.

212814840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 212814840 is about 14588.1746630619. The cubic root of 212814840 is about 597.0361613184.

The spelling of 212814840 in words is "two hundred twelve million, eight hundred fourteen thousand, eight hundred forty".