164950656 has 128 divisors (see below), whose sum is σ = 477066240. Its totient is φ = 50196480.

The previous prime is 164950627. The next prime is 164950693. The reversal of 164950656 is 656059461.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863521 + ... + 863711.

It is an arithmetic number, because the mean of its divisors is an integer number (3727080).

Almost surely, 2^164950656 is an apocalyptic number.

164950656 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 164950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238533120).

164950656 is an abundant number, since it is smaller than the sum of its proper divisors (312115584).

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

164950656 is a wasteful number, since it uses less digits than its factorization.

164950656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 164950656 is about 12843.3117224492. The cubic root of 164950656 is about 548.4259745811.

The spelling of 164950656 in words is "one hundred sixty-four million, nine hundred fifty thousand, six hundred fifty-six".