213977088 has 288 divisors, whose sum is σ = 715478400. Its totient is φ = 61046784.

The previous prime is 213977077. The next prime is 213977131. The reversal of 213977088 is 880779312.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4552681 + ... + 4552727.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 2^213977088 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 213977088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

213977088 is an abundant number, since it is smaller than the sum of its proper divisors (501501312).

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

213977088 is a wasteful number, since it uses less digits than its factorization.

213977088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 213977088 is about 14627.9557013275. The cubic root of 213977088 is about 598.1210554209.

The spelling of 213977088 in words is "two hundred thirteen million, nine hundred seventy-seven thousand, eighty-eight".