164999744 has 112 divisors (see below), whose sum is σ = 413406336. Its totient is φ = 63590400.

The previous prime is 164999741. The next prime is 164999749. The reversal of 164999744 is 447999461.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164999741) 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, 238439 + ... + 239129.

It is an arithmetic number, because the mean of its divisors is an integer number (3691128).

Almost surely, 2^164999744 is an apocalyptic number.

164999744 is a gapful number since it is divisible by the number (14) 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 164999744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206703168).

164999744 is an abundant number, since it is smaller than the sum of its proper divisors (248406592).

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

164999744 is a wasteful number, since it uses less digits than its factorization.

164999744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 164999744 is about 12845.2226138748. Note that the first 3 decimals coincide. The cubic root of 164999744 is about 548.4803715844.

The spelling of 164999744 in words is "one hundred sixty-four million, nine hundred ninety-nine thousand, seven hundred forty-four".