164070816 has 144 divisors (see below), whose sum is σ = 539741664. Its totient is φ = 43255296.

The previous prime is 164070793. The next prime is 164070827. The reversal of 164070816 is 618070461.

It is a happy number.

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, 59811 + ... + 62493.

It is an arithmetic number, because the mean of its divisors is an integer number (3748206).

Almost surely, 2^164070816 is an apocalyptic number.

164070816 is a gapful number since it is divisible by the number (16) 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 164070816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269870832).

164070816 is an abundant number, since it is smaller than the sum of its proper divisors (375670848).

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

164070816 is a wasteful number, since it uses less digits than its factorization.

164070816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 164070816 is about 12809.0130767362. The cubic root of 164070816 is about 547.4491418741.

The spelling of 164070816 in words is "one hundred sixty-four million, seventy thousand, eight hundred sixteen".