212032040 has 64 divisors (see below), whose sum is σ = 531567360. Its totient is φ = 75454720.

The previous prime is 212032013. The next prime is 212032061. The reversal of 212032040 is 40230212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15554 + ... + 25806.

It is an arithmetic number, because the mean of its divisors is an integer number (8305740).

Almost surely, 2^212032040 is an apocalyptic number.

212032040 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 212032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265783680).

212032040 is an abundant number, since it is smaller than the sum of its proper divisors (319535320).

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

212032040 is a wasteful number, since it uses less digits than its factorization.

212032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10322 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 212032040 is about 14561.3199951103. The cubic root of 212032040 is about 596.3032329298.

Adding to 212032040 its reverse (40230212), we get a palindrome (252262252).

The spelling of 212032040 in words is "two hundred twelve million, thirty-two thousand, forty".