212756544 has 560 divisors, whose sum is σ = 867436416. Its totient is φ = 49766400.

The previous prime is 212756543. The next prime is 212756573. The reversal of 212756544 is 445657212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (67200) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212756499 and 212756508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212756543) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5189164 + ... + 5189204.

Almost surely, 2^212756544 is an apocalyptic number.

212756544 is a gapful number since it is divisible by the number (24) 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 212756544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433718208).

212756544 is an abundant number, since it is smaller than the sum of its proper divisors (654679872).

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

212756544 is a wasteful number, since it uses less digits than its factorization.

212756544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 212756544 is about 14586.1764695207. The cubic root of 212756544 is about 596.9816413132.

The spelling of 212756544 in words is "two hundred twelve million, seven hundred fifty-six thousand, five hundred forty-four".