164681040 has 160 divisors (see below), whose sum is σ = 545965056. Its totient is φ = 40919040.

The previous prime is 164681003. The next prime is 164681087. The reversal of 164681040 is 40186461.

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

It is a junction number, because it is equal to n+sod(n) for n = 164680989 and 164681007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738369 + ... + 738591.

Almost surely, 2^164681040 is an apocalyptic number.

164681040 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 164681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

164681040 is an abundant number, since it is smaller than the sum of its proper divisors (381284016).

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

164681040 is a wasteful number, since it uses less digits than its factorization.

164681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 164681040 is about 12832.8110716242. The cubic root of 164681040 is about 548.1270062773.

The spelling of 164681040 in words is "one hundred sixty-four million, six hundred eighty-one thousand, forty".