164294240 has 96 divisors (see below), whose sum is σ = 426220704. Its totient is φ = 59351040.

The previous prime is 164294227. The next prime is 164294269. The reversal of 164294240 is 42492461.

164294240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 164294197 and 164294206.

It is a congruent number.

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, 487352 + ... + 487688.

It is an arithmetic number, because the mean of its divisors is an integer number (4439799).

Almost surely, 2^164294240 is an apocalyptic number.

164294240 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 164294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213110352).

164294240 is an abundant number, since it is smaller than the sum of its proper divisors (261926464).

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

164294240 is a wasteful number, since it uses less digits than its factorization.

164294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 164294240 is about 12817.7314685556. The cubic root of 164294240 is about 547.6975260817.

The spelling of 164294240 in words is "one hundred sixty-four million, two hundred ninety-four thousand, two hundred forty".