213674496 has 240 divisors, whose sum is σ = 705329856. Its totient is φ = 57114624.

The previous prime is 213674473. The next prime is 213674507. The reversal of 213674496 is 694476312.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 1279405 + ... + 1279571.

Almost surely, 2^213674496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213674496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352664928).

213674496 is an abundant number, since it is smaller than the sum of its proper divisors (491655360).

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

213674496 is a wasteful number, since it uses less digits than its factorization.

213674496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 213674496 is about 14617.6091068273. The cubic root of 213674496 is about 597.8389815655.

The spelling of 213674496 in words is "two hundred thirteen million, six hundred seventy-four thousand, four hundred ninety-six".