164739648 has 56 divisors (see below), whose sum is σ = 441431680. Its totient is φ = 54213120.

The previous prime is 164739527. The next prime is 164739683. The reversal of 164739648 is 846937461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 164739597 and 164739606.

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, 9738 + ... + 20598.

Almost surely, 2^164739648 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 164739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220715840).

164739648 is an abundant number, since it is smaller than the sum of its proper divisors (276692032).

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

164739648 is a wasteful number, since it uses less digits than its factorization.

164739648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10955 (or 10945 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 164739648 is about 12835.0943899918. The cubic root of 164739648 is about 548.1920224998.

The spelling of 164739648 in words is "one hundred sixty-four million, seven hundred thirty-nine thousand, six hundred forty-eight".