164567040 has 192 divisors, whose sum is σ = 575527680. Its totient is φ = 39813120.

The previous prime is 164567017. The next prime is 164567041. The reversal of 164567040 is 40765461.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 164566992 and 164567010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164567041) 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, 337677 + ... + 338163.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2^164567040 is an apocalyptic number.

164567040 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 164567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287763840).

164567040 is an abundant number, since it is smaller than the sum of its proper divisors (410960640).

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

164567040 is a wasteful number, since it uses less digits than its factorization.

164567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 164567040 is about 12828.3685634612. The cubic root of 164567040 is about 548.0004972734. Note that the first 3 decimals are identical.

The spelling of 164567040 in words is "one hundred sixty-four million, five hundred sixty-seven thousand, forty".