164747840 has 112 divisors (see below), whose sum is σ = 416692080. Its totient is φ = 61931520.

The previous prime is 164747839. The next prime is 164747861. The reversal of 164747840 is 48747461.

It can be written as a sum of positive squares in 8 ways, for example, as 46895104 + 117852736 = 6848^2 + 10856^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 380264 + ... + 380696.

It is an arithmetic number, because the mean of its divisors is an integer number (3720465).

Almost surely, 2^164747840 is an apocalyptic number.

164747840 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 164747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208346040).

164747840 is an abundant number, since it is smaller than the sum of its proper divisors (251944240).

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

164747840 is a wasteful number, since it uses less digits than its factorization.

164747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 164747840 is about 12835.4135110638. The cubic root of 164747840 is about 548.2011089880.

The spelling of 164747840 in words is "one hundred sixty-four million, seven hundred forty-seven thousand, eight hundred forty".