213790752 has 120 divisors (see below), whose sum is σ = 718635456. Its totient is φ = 61077888.

The previous prime is 213790751. The next prime is 213790771. The reversal of 213790752 is 257097312.

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

It is not an unprimeable number, because it can be changed into a prime (213790751) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12253 + ... + 24035.

Almost surely, 2^213790752 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 213790752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359317728).

213790752 is an abundant number, since it is smaller than the sum of its proper divisors (504844704).

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

213790752 is a wasteful number, since it uses less digits than its factorization.

213790752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 213790752 is about 14621.5851397856. The cubic root of 213790752 is about 597.9473859669.

The spelling of 213790752 in words is "two hundred thirteen million, seven hundred ninety thousand, seven hundred fifty-two".