213299040 has 96 divisors (see below), whose sum is σ = 677376000. Its totient is φ = 56415744.

The previous prime is 213299027. The next prime is 213299041. The reversal of 213299040 is 40992312.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 213298989 and 213299007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213299041) 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, 59211 + ... + 62709.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^213299040 is an apocalyptic number.

213299040 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 213299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

213299040 is an abundant number, since it is smaller than the sum of its proper divisors (464076960).

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

213299040 is a wasteful number, since it uses less digits than its factorization.

213299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 213299040 is about 14604.7608676075. The cubic root of 213299040 is about 597.4886140113.

The spelling of 213299040 in words is "two hundred thirteen million, two hundred ninety-nine thousand, forty".