212735040 has 112 divisors (see below), whose sum is σ = 771948672. Its totient is φ = 48623616.

The previous prime is 212735021. The next prime is 212735041. The reversal of 212735040 is 40537212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212735040.

It is not an unprimeable number, because it can be changed into a prime (212735041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9109 + ... + 22548.

Almost surely, 2^212735040 is an apocalyptic number.

212735040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212735040 is an abundant number, since it is smaller than the sum of its proper divisors (559213632).

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

212735040 is a wasteful number, since it uses less digits than its factorization.

212735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31684 (or 31674 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 212735040 is about 14585.4393146041. The cubic root of 212735040 is about 596.9615276729.

The spelling of 212735040 in words is "two hundred twelve million, seven hundred thirty-five thousand, forty".