164947968 has 192 divisors, whose sum is σ = 517608000. Its totient is φ = 51757056.

The previous prime is 164947967. The next prime is 164948009. The reversal of 164947968 is 869749461.

164947968 is a `hidden beast` number, since 164 + 9 + 479 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (164947967) 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, 1050546 + ... + 1050702.

It is an arithmetic number, because the mean of its divisors is an integer number (2695875).

Almost surely, 2^164947968 is an apocalyptic number.

164947968 is a gapful number since it is divisible by the number (18) 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 164947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258804000).

164947968 is an abundant number, since it is smaller than the sum of its proper divisors (352660032).

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

164947968 is a wasteful number, since it uses less digits than its factorization.

164947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 164947968 is about 12843.2070761162. The cubic root of 164947968 is about 548.4229955548.

The spelling of 164947968 in words is "one hundred sixty-four million, nine hundred forty-seven thousand, nine hundred sixty-eight".