212880720 has 240 divisors, whose sum is σ = 744702336. Its totient is φ = 49996800.

The previous prime is 212880697. The next prime is 212880727. The reversal of 212880720 is 27088212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212880727) 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 47 ways as a sum of consecutive naturals, for example, 2998285 + ... + 2998355.

Almost surely, 2^212880720 is an apocalyptic number.

212880720 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 212880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372351168).

212880720 is an abundant number, since it is smaller than the sum of its proper divisors (531821616).

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

212880720 is a wasteful number, since it uses less digits than its factorization.

212880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 212880720 is about 14590.4324815956. The cubic root of 212880720 is about 597.0977621045.

The spelling of 212880720 in words is "two hundred twelve million, eight hundred eighty thousand, seven hundred twenty".