213906000 has 320 divisors, whose sum is σ = 861659136. Its totient is φ = 44352000.

The previous prime is 213905999. The next prime is 213906029. The reversal of 213906000 is 609312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461769 + ... + 462231.

Almost surely, 2^213906000 is an apocalyptic number.

213906000 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 213906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430829568).

213906000 is an abundant number, since it is smaller than the sum of its proper divisors (647753136).

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

213906000 is a wasteful number, since it uses less digits than its factorization.

213906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 213906000 is about 14625.5256315799. The cubic root of 213906000 is about 598.0548116633.

The spelling of 213906000 in words is "two hundred thirteen million, nine hundred six thousand".