213461040 has 160 divisors (see below), whose sum is σ = 735952896. Its totient is φ = 50826240.

The previous prime is 213461033. The next prime is 213461063. The reversal of 213461040 is 40164312.

It is a junction number, because it is equal to n+sod(n) for n = 213460998 and 213461016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95617 + ... + 97823.

Almost surely, 2^213461040 is an apocalyptic number.

213461040 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 213461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367976448).

213461040 is an abundant number, since it is smaller than the sum of its proper divisors (522491856).

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

213461040 is a wasteful number, since it uses less digits than its factorization.

213461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 213461040 is about 14610.3059516220. The cubic root of 213461040 is about 597.6398393537.

The spelling of 213461040 in words is "two hundred thirteen million, four hundred sixty-one thousand, forty".