213378000 has 320 divisors, whose sum is σ = 777164544. Its totient is φ = 49920000.

The previous prime is 213377987. The next prime is 213378029. The reversal of 213378000 is 873312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3497970 + ... + 3498030.

Almost surely, 2^213378000 is an apocalyptic number.

213378000 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 213378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388582272).

213378000 is an abundant number, since it is smaller than the sum of its proper divisors (563786544).

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

213378000 is a wasteful number, since it uses less digits than its factorization.

213378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 213378000 is about 14607.4638455825. The cubic root of 213378000 is about 597.5623319250.

The spelling of 213378000 in words is "two hundred thirteen million, three hundred seventy-eight thousand".