213963120 has 400 divisors, whose sum is σ = 875033280. Its totient is φ = 47443968.

The previous prime is 213963103. The next prime is 213963143. The reversal of 213963120 is 21369312.

213963120 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 631 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2404036 + ... + 2404124.

Almost surely, 2^213963120 is an apocalyptic number.

213963120 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 213963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437516640).

213963120 is an abundant number, since it is smaller than the sum of its proper divisors (661070160).

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

213963120 is a wasteful number, since it uses less digits than its factorization.

213963120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 213963120 is about 14627.4782515648. The cubic root of 213963120 is about 598.1080404189.

The spelling of 213963120 in words is "two hundred thirteen million, nine hundred sixty-three thousand, one hundred twenty".