164937840 has 60 divisors (see below), whose sum is σ = 511924824. Its totient is φ = 43930368.

The previous prime is 164937811. The next prime is 164937847. The reversal of 164937840 is 48739461.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 164937792 and 164937801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164937847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198546 + ... + 199374.

Almost surely, 2^164937840 is an apocalyptic number.

164937840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164937840 is an abundant number, since it is smaller than the sum of its proper divisors (346986984).

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

164937840 is an frugal number, since it uses more digits than its factorization.

164937840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 164937840 is about 12842.8127760238. The cubic root of 164937840 is about 548.4117707185.

The spelling of 164937840 in words is "one hundred sixty-four million, nine hundred thirty-seven thousand, eight hundred forty".