212879040 has 224 divisors, whose sum is σ = 776874240. Its totient is φ = 48844800.

The previous prime is 212879003. The next prime is 212879047. The reversal of 212879040 is 40978212.

212879040 = T₂₄ + T₂₅ + ... + T₁₀₈₄.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 212878992 and 212879010.

It is not an unprimeable number, because it can be changed into a prime (212879047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200110 + ... + 201170.

Almost surely, 2^212879040 is an apocalyptic number.

212879040 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 212879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388437120).

212879040 is an abundant number, since it is smaller than the sum of its proper divisors (563995200).

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

212879040 is a wasteful number, since it uses less digits than its factorization.

212879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 212879040 is about 14590.3749095080. The cubic root of 212879040 is about 597.0961913863.

The spelling of 212879040 in words is "two hundred twelve million, eight hundred seventy-nine thousand, forty".