164363240 has 64 divisors (see below), whose sum is σ = 386588160. Its totient is φ = 62818560.

The previous prime is 164363231. The next prime is 164363257. The reversal of 164363240 is 42363461.

164363240 = T₃₄₅ + T₃₄₆ + ... + T₁₀₀₈.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102122 + ... + 103718.

It is an arithmetic number, because the mean of its divisors is an integer number (6040440).

Almost surely, 2^164363240 is an apocalyptic number.

164363240 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 164363240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193294080).

164363240 is an abundant number, since it is smaller than the sum of its proper divisors (222224920).

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

164363240 is a wasteful number, since it uses less digits than its factorization.

164363240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 164363240 is about 12820.4227699402. The cubic root of 164363240 is about 547.7741890251.

It can be divided in two parts, 1643 and 63240, that multiplied together give a triangular number (103903320 = T₁₄₄₁₅).

The spelling of 164363240 in words is "one hundred sixty-four million, three hundred sixty-three thousand, two hundred forty".