212040816 has 80 divisors (see below), whose sum is σ = 592045440. Its totient is φ = 65007360.

The previous prime is 212040799. The next prime is 212040827. The reversal of 212040816 is 618040212.

212040816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212040816² = 89922615299891712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261051 + ... + 261861.

It is an arithmetic number, because the mean of its divisors is an integer number (7400568).

Almost surely, 2^212040816 is an apocalyptic number.

212040816 is a gapful number since it is divisible by the number (26) 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 212040816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296022720).

212040816 is an abundant number, since it is smaller than the sum of its proper divisors (380004624).

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

212040816 is a wasteful number, since it uses less digits than its factorization.

212040816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

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

The square root of 212040816 is about 14561.6213382988. The cubic root of 212040816 is about 596.3114598075.

The spelling of 212040816 in words is "two hundred twelve million, forty thousand, eight hundred sixteen".