164387520 has 168 divisors, whose sum is σ = 616945680. Its totient is φ = 39843840.

The previous prime is 164387519. The next prime is 164387521. The reversal of 164387520 is 25783461.

164387520 is a `hidden beast` number, since 1 + 643 + 8 + 7 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164387519) and next prime (164387521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164387521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29086 + ... + 34274.

Almost surely, 2^164387520 is an apocalyptic number.

164387520 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 164387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308472840).

164387520 is an abundant number, since it is smaller than the sum of its proper divisors (452558160).

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

164387520 is a wasteful number, since it uses less digits than its factorization.

164387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 164387520 is about 12821.3696616235. The cubic root of 164387520 is about 547.8011603894.

The spelling of 164387520 in words is "one hundred sixty-four million, three hundred eighty-seven thousand, five hundred twenty".