164705400 has 144 divisors (see below), whose sum is σ = 573791400. Its totient is φ = 43908480.

The previous prime is 164705393. The next prime is 164705417. The reversal of 164705400 is 4507461.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46906 + ... + 50294.

Almost surely, 2^164705400 is an apocalyptic number.

164705400 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 164705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286895700).

164705400 is an abundant number, since it is smaller than the sum of its proper divisors (409086000).

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

164705400 is a wasteful number, since it uses less digits than its factorization.

164705400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 164705400 is about 12833.7601660620. The cubic root of 164705400 is about 548.1540316826.

The spelling of 164705400 in words is "one hundred sixty-four million, seven hundred five thousand, four hundred".