213992064 has 256 divisors, whose sum is σ = 743702400. Its totient is φ = 59719680.

The previous prime is 213992059. The next prime is 213992071. The reversal of 213992064 is 460299312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493992 + ... + 494424.

Almost surely, 2^213992064 is an apocalyptic number.

213992064 is a gapful number since it is divisible by the number (24) 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 213992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371851200).

213992064 is an abundant number, since it is smaller than the sum of its proper divisors (529710336).

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

213992064 is a wasteful number, since it uses less digits than its factorization.

213992064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 213992064 is about 14628.4675889172. The cubic root of 213992064 is about 598.1350090207.

The spelling of 213992064 in words is "two hundred thirteen million, nine hundred ninety-two thousand, sixty-four".