213164016 has 80 divisors (see below), whose sum is σ = 596211840. Its totient is φ = 65237760.

The previous prime is 213163987. The next prime is 213164057. The reversal of 213164016 is 610461312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 130855 + ... + 132473.

It is an arithmetic number, because the mean of its divisors is an integer number (7452648).

Almost surely, 2^213164016 is an apocalyptic number.

213164016 is a gapful number since it is divisible by the number (26) 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 213164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298105920).

213164016 is an abundant number, since it is smaller than the sum of its proper divisors (383047824).

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

213164016 is a wasteful number, since it uses less digits than its factorization.

213164016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 213164016 is about 14600.1375335988. The cubic root of 213164016 is about 597.3625119719.

The spelling of 213164016 in words is "two hundred thirteen million, one hundred sixty-four thousand, sixteen".