212747040 has 384 divisors, whose sum is σ = 841155840. Its totient is φ = 50181120.

The previous prime is 212746981. The next prime is 212747057. The reversal of 212747040 is 40747212.

It is a happy number.

It is a super-2 number, since 2×212747040² = 90522606057523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212746995 and 212747013.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5749902 + ... + 5749938.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 2^212747040 is an apocalyptic number.

212747040 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 212747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420577920).

212747040 is an abundant number, since it is smaller than the sum of its proper divisors (628408800).

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

212747040 is a wasteful number, since it uses less digits than its factorization.

212747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 212747040 is about 14585.8506779687. The cubic root of 212747040 is about 596.9727519697.

The spelling of 212747040 in words is "two hundred twelve million, seven hundred forty-seven thousand, forty".