213154640 has 80 divisors (see below), whose sum is σ = 519609600. Its totient is φ = 81209856.

The previous prime is 213154633. The next prime is 213154657. The reversal of 213154640 is 46451312.

213154640 is digitally balanced in base 2, 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182699 + ... + 183861.

It is an arithmetic number, because the mean of its divisors is an integer number (6495120).

Almost surely, 2^213154640 is an apocalyptic number.

213154640 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 213154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259804800).

213154640 is an abundant number, since it is smaller than the sum of its proper divisors (306454960).

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

213154640 is a wasteful number, since it uses less digits than its factorization.

213154640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 213154640 is about 14599.8164372022. The cubic root of 213154640 is about 597.3537535315.

The spelling of 213154640 in words is "two hundred thirteen million, one hundred fifty-four thousand, six hundred forty".