164078460 has 432 divisors, whose sum is σ = 658790496. Its totient is φ = 33965568.

The previous prime is 164078399. The next prime is 164078477. The reversal of 164078460 is 64870461.

164078460 is a `hidden beast` number, since 1 + 640 + 7 + 8 + 4 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3095794 + ... + 3095846.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^164078460 is an apocalyptic number.

164078460 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 164078460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329395248).

164078460 is an abundant number, since it is smaller than the sum of its proper divisors (494712036).

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

164078460 is a wasteful number, since it uses less digits than its factorization.

164078460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 164078460 is about 12809.3114569051. The cubic root of 164078460 is about 547.4576435613.

The spelling of 164078460 in words is "one hundred sixty-four million, seventy-eight thousand, four hundred sixty".