213378048 has 198 divisors, whose sum is σ = 672034194. Its totient is φ = 65175552.

The previous prime is 213378041. The next prime is 213378119. The reversal of 213378048 is 840873312.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 212926464 = 672^2 + 14592^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213378041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1557436 + ... + 1557572.

Almost surely, 2^213378048 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 213378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336017097).

213378048 is an abundant number, since it is smaller than the sum of its proper divisors (458656146).

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

213378048 is a wasteful number, since it uses less digits than its factorization.

213378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 213378048 is about 14607.4654885781. The cubic root of 213378048 is about 597.5623767328.

The spelling of 213378048 in words is "two hundred thirteen million, three hundred seventy-eight thousand, forty-eight".