164607552 has 140 divisors (see below), whose sum is σ = 494018316. Its totient is φ = 54190080.

The previous prime is 164607539. The next prime is 164607563. The reversal of 164607552 is 255706461.

It is a happy number.

164607552 is a `hidden beast` number, since 1 + 646 + 0 + 7 + 5 + 5 + 2 = 666.

164607552 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 2 ways, for example, as 44836416 + 119771136 = 6696^2 + 10944^2 .

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 19 ways as a sum of consecutive naturals, for example, 585652 + ... + 585932.

Almost surely, 2^164607552 is an apocalyptic number.

164607552 is a gapful number since it is divisible by the number (12) 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 164607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247009158).

164607552 is an abundant number, since it is smaller than the sum of its proper divisors (329410764).

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

164607552 is a wasteful number, since it uses less digits than its factorization.

164607552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 164607552 is about 12829.9474667670. The cubic root of 164607552 is about 548.0454612684.

The spelling of 164607552 in words is "one hundred sixty-four million, six hundred seven thousand, five hundred fifty-two".