164709952 has 56 divisors (see below), whose sum is σ = 364918752. Its totient is φ = 73113600.

The previous prime is 164709947. The next prime is 164710003. The reversal of 164709952 is 259907461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 164709899 and 164709908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27552 + ... + 32992.

Almost surely, 2^164709952 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 164709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182459376).

164709952 is an abundant number, since it is smaller than the sum of its proper divisors (200208800).

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

164709952 is a wasteful number, since it uses less digits than its factorization.

164709952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 164709952 is about 12833.9375095876. The cubic root of 164709952 is about 548.1590814546.

The spelling of 164709952 in words is "one hundred sixty-four million, seven hundred nine thousand, nine hundred fifty-two".