164130624 has 140 divisors (see below), whose sum is σ = 556162464. Its totient is φ = 46884096.

The previous prime is 164130611. The next prime is 164130671. The reversal of 164130624 is 426031461.

164130624 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 30 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34027 + ... + 38549.

Almost surely, 2^164130624 is an apocalyptic number.

164130624 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 164130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278081232).

164130624 is an abundant number, since it is smaller than the sum of its proper divisors (392031840).

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

164130624 is an equidigital number, since it uses as much as digits as its factorization.

164130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164130624 is about 12811.3474701141. The cubic root of 164130624 is about 547.5156535213.

The spelling of 164130624 in words is "one hundred sixty-four million, one hundred thirty thousand, six hundred twenty-four".