164555664 has 160 divisors (see below), whose sum is σ = 529799424. Its totient is φ = 42854400.

The previous prime is 164555659. The next prime is 164555669. The reversal of 164555664 is 466555461.

It is an interprime number because it is at equal distance from previous prime (164555659) and next prime (164555669).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (164555669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440982 + ... + 441354.

Almost surely, 2^164555664 is an apocalyptic number.

164555664 is a gapful number since it is divisible by the number (14) 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 164555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264899712).

164555664 is an abundant number, since it is smaller than the sum of its proper divisors (365243760).

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

164555664 is a wasteful number, since it uses less digits than its factorization.

164555664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 164555664 is about 12827.9251634861. The cubic root of 164555664 is about 547.9878698009.

The spelling of 164555664 in words is "one hundred sixty-four million, five hundred fifty-five thousand, six hundred sixty-four".