164527440 has 320 divisors, whose sum is σ = 659957760. Its totient is φ = 32901120.

The previous prime is 164527421. The next prime is 164527453. The reversal of 164527440 is 44725461.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535767 + ... + 536073.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^164527440 is an apocalyptic number.

164527440 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 164527440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

164527440 is an abundant number, since it is smaller than the sum of its proper divisors (495430320).

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

164527440 is a wasteful number, since it uses less digits than its factorization.

164527440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 164527440 is about 12826.8250163476. The cubic root of 164527440 is about 547.9565383686.

The spelling of 164527440 in words is "one hundred sixty-four million, five hundred twenty-seven thousand, four hundred forty".