164997648 has 100 divisors (see below), whose sum is σ = 505709820. Its totient is φ = 51757056.

The previous prime is 164997647. The next prime is 164997661. The reversal of 164997648 is 846799461.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 58247424 = 10332^2 + 7632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 164997594 and 164997603.

It is not an unprimeable number, because it can be changed into a prime (164997647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18288 + ... + 25776.

Almost surely, 2^164997648 is an apocalyptic number.

164997648 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 164997648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252854910).

164997648 is an abundant number, since it is smaller than the sum of its proper divisors (340712172).

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

164997648 is a wasteful number, since it uses less digits than its factorization.

164997648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7511 counting only the distinct ones).

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

The square root of 164997648 is about 12845.1410268630. The cubic root of 164997648 is about 548.4780491167.

The spelling of 164997648 in words is "one hundred sixty-four million, nine hundred ninety-seven thousand, six hundred forty-eight".