164739000 has 128 divisors (see below), whose sum is σ = 520603200. Its totient is φ = 43366400.

The previous prime is 164738989. The next prime is 164739007. The reversal of 164739000 is 937461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164739007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266692 + ... + 267308.

Almost surely, 2^164739000 is an apocalyptic number.

164739000 is a gapful number since it is divisible by the number (10) 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 164739000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260301600).

164739000 is an abundant number, since it is smaller than the sum of its proper divisors (355864200).

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

164739000 is a wasteful number, since it uses less digits than its factorization.

164739000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 164739000 is about 12835.0691466778. The cubic root of 164739000 is about 548.1913037315.

The spelling of 164739000 in words is "one hundred sixty-four million, seven hundred thirty-nine thousand".