212096544 has 216 divisors, whose sum is σ = 665627760. Its totient is φ = 58924800.

The previous prime is 212096537. The next prime is 212096557. The reversal of 212096544 is 445690212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6841809 + ... + 6841839.

It is an arithmetic number, because the mean of its divisors is an integer number (3081610).

Almost surely, 2^212096544 is an apocalyptic number.

212096544 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 212096544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332813880).

212096544 is an abundant number, since it is smaller than the sum of its proper divisors (453531216).

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

212096544 is a wasteful number, since it uses less digits than its factorization.

212096544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 212096544 is about 14563.5347357707. The cubic root of 212096544 is about 596.3636955591.

The spelling of 212096544 in words is "two hundred twelve million, ninety-six thousand, five hundred forty-four".