164936816 has 40 divisors (see below), whose sum is σ = 350696304. Its totient is φ = 74524160.

The previous prime is 164936803. The next prime is 164936819. The reversal of 164936816 is 618639461.

It is a happy number.

164936816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164936819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27740 + ... + 33156.

Almost surely, 2^164936816 is an apocalyptic number.

164936816 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 164936816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175348152).

164936816 is an abundant number, since it is smaller than the sum of its proper divisors (185759488).

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

164936816 is a wasteful number, since it uses less digits than its factorization.

164936816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5603 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 164936816 is about 12842.7729093058. The cubic root of 164936816 is about 548.4106357964.

The spelling of 164936816 in words is "one hundred sixty-four million, nine hundred thirty-six thousand, eight hundred sixteen".