164102400 has 648 divisors, whose sum is σ = 751243584. Its totient is φ = 33177600.

The previous prime is 164102359. The next prime is 164102417. The reversal of 164102400 is 4201461.

164102400 is a `hidden beast` number, since 1 + 641 + 0 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4435182 + ... + 4435218.

Almost surely, 2^164102400 is an apocalyptic number.

164102400 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 164102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375621792).

164102400 is an abundant number, since it is smaller than the sum of its proper divisors (587141184).

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

164102400 is a wasteful number, since it uses less digits than its factorization.

164102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 164102400 is about 12810.2458992792. The cubic root of 164102400 is about 547.4842680161.

Adding to 164102400 its reverse (4201461), we get a palindrome (168303861).

The spelling of 164102400 in words is "one hundred sixty-four million, one hundred two thousand, four hundred".