164345616 has 30 divisors (see below), whose sum is σ = 459939870. Its totient is φ = 54781824.

The previous prime is 164345609. The next prime is 164345653. The reversal of 164345616 is 616543461.

It is a happy number.

164345616 is a `hidden beast` number, since 1 + 6 + 4 + 34 + 5 + 616 = 666.

164345616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 161798400 + 2547216 = 12720^2 + 1596^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570501 + ... + 570788.

It is an arithmetic number, because the mean of its divisors is an integer number (15331329).

Almost surely, 2^164345616 is an apocalyptic number.

164345616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164345616 is an abundant number, since it is smaller than the sum of its proper divisors (295594254).

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

164345616 is a wasteful number, since it uses less digits than its factorization.

164345616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141303 (or 1141294 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164345616 is about 12819.7354106861. The cubic root of 164345616 is about 547.7546097944.

The spelling of 164345616 in words is "one hundred sixty-four million, three hundred forty-five thousand, six hundred sixteen".