213554880 has 560 divisors, whose sum is σ = 955950336. Its totient is φ = 43960320.

The previous prime is 213554879. The next prime is 213554903. The reversal of 213554880 is 88455312.

It is a happy number.

213554880 is a `hidden beast` number, since 2 + 1 + 35 + 548 + 80 = 666.

213554880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995787 + ... + 1995893.

Almost surely, 2^213554880 is an apocalyptic number.

213554880 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 213554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477975168).

213554880 is an abundant number, since it is smaller than the sum of its proper divisors (742395456).

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

213554880 is a wasteful number, since it uses less digits than its factorization.

213554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 213554880 is about 14613.5170304756. The cubic root of 213554880 is about 597.7274030396.

The spelling of 213554880 in words is "two hundred thirteen million, five hundred fifty-four thousand, eight hundred eighty".