212164040 has 64 divisors (see below), whose sum is σ = 524664000. Its totient is φ = 76573440.

The previous prime is 212164033. The next prime is 212164151. The reversal of 212164040 is 40461212.

212164040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 59426 + ... + 62894.

It is an arithmetic number, because the mean of its divisors is an integer number (8197875).

Almost surely, 2^212164040 is an apocalyptic number.

212164040 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 212164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262332000).

212164040 is an abundant number, since it is smaller than the sum of its proper divisors (312499960).

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

212164040 is a wasteful number, since it uses less digits than its factorization.

212164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 212164040 is about 14565.8518460130. The cubic root of 212164040 is about 596.4269496071.

The spelling of 212164040 in words is "two hundred twelve million, one hundred sixty-four thousand, forty".