164211040 has 48 divisors (see below), whose sum is σ = 443372832. Its totient is φ = 56300544.

The previous prime is 164211031. The next prime is 164211049. The reversal of 164211040 is 40112461.

It is an interprime number because it is at equal distance from previous prime (164211031) and next prime (164211049).

It is a junction number, because it is equal to n+sod(n) for n = 164210999 and 164211017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164211049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72189 + ... + 74428.

It is an arithmetic number, because the mean of its divisors is an integer number (9236934).

Almost surely, 2^164211040 is an apocalyptic number.

164211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164211040 is an abundant number, since it is smaller than the sum of its proper divisors (279161792).

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

164211040 is a wasteful number, since it uses less digits than its factorization.

164211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146639 (or 146631 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 164211040 is about 12814.4855534664. The cubic root of 164211040 is about 547.6050575764.

The spelling of 164211040 in words is "one hundred sixty-four million, two hundred eleven thousand, forty".