164402000 has 80 divisors (see below), whose sum is σ = 454351872. Its totient is φ = 56361600.

The previous prime is 164401961. The next prime is 164402011. The reversal of 164402000 is 204461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×164402000³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164402000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8129 + ... + 19871.

Almost surely, 2^164402000 is an apocalyptic number.

164402000 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 164402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227175936).

164402000 is an abundant number, since it is smaller than the sum of its proper divisors (289949872).

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

164402000 is a wasteful number, since it uses less digits than its factorization.

164402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11773 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 164402000 is about 12821.9343314494. The cubic root of 164402000 is about 547.8172441892.

Adding to 164402000 its reverse (204461), we get a palindrome (164606461).

The spelling of 164402000 in words is "one hundred sixty-four million, four hundred two thousand".