164786130 has 64 divisors (see below), whose sum is σ = 441141120. Its totient is φ = 43771968.

The previous prime is 164786119. The next prime is 164786131. The reversal of 164786130 is 31687461.

164786130 is a `hidden beast` number, since 1 + 647 + 8 + 6 + 1 + 3 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164786131) 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, 78069 + ... + 80151.

It is an arithmetic number, because the mean of its divisors is an integer number (6892830).

Almost surely, 2^164786130 is an apocalyptic number.

164786130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164786130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220570560).

164786130 is an abundant number, since it is smaller than the sum of its proper divisors (276354990).

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

164786130 is a wasteful number, since it uses less digits than its factorization.

164786130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 164786130 is about 12836.9050008170. The cubic root of 164786130 is about 548.2435758968.

The spelling of 164786130 in words is "one hundred sixty-four million, seven hundred eighty-six thousand, one hundred thirty".