164380656 has 80 divisors (see below), whose sum is σ = 464970240. Its totient is φ = 49628160.

The previous prime is 164380651. The next prime is 164380669. The reversal of 164380656 is 656083461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164380651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228265 + ... + 228983.

It is an arithmetic number, because the mean of its divisors is an integer number (5812128).

Almost surely, 2^164380656 is an apocalyptic number.

164380656 is a gapful number since it is divisible by the number (16) 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 164380656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

164380656 is an abundant number, since it is smaller than the sum of its proper divisors (300589584).

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

164380656 is a wasteful number, since it uses less digits than its factorization.

164380656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 164380656 is about 12821.1019807191. The cubic root of 164380656 is about 547.7935358051.

The spelling of 164380656 in words is "one hundred sixty-four million, three hundred eighty thousand, six hundred fifty-six".