164000616 has 64 divisors (see below), whose sum is σ = 446174400. Its totient is φ = 49932288.

The previous prime is 164000611. The next prime is 164000621. The reversal of 164000616 is 616000461.

164000616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164000611) and next prime (164000621).

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

It is not an unprimeable number, because it can be changed into a prime (164000611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27555 + ... + 32973.

It is an arithmetic number, because the mean of its divisors is an integer number (6971475).

Almost surely, 2^164000616 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 164000616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223087200).

164000616 is an abundant number, since it is smaller than the sum of its proper divisors (282173784).

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

164000616 is a wasteful number, since it uses less digits than its factorization.

164000616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5534 counting only the distinct ones).

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

The square root of 164000616 is about 12806.2725256024. The cubic root of 164000616 is about 547.3710528045.

The spelling of 164000616 in words is "one hundred sixty-four million, six hundred sixteen", and thus it is an aban number.