164663400 has 192 divisors, whose sum is σ = 567374400. Its totient is φ = 39168000.

The previous prime is 164663381. The next prime is 164663437. The reversal of 164663400 is 4366461.

It is a super-2 number, since 2×164663400² = 54228070599120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402396 + ... + 402804.

It is an arithmetic number, because the mean of its divisors is an integer number (2955075).

Almost surely, 2^164663400 is an apocalyptic number.

164663400 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 164663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283687200).

164663400 is an abundant number, since it is smaller than the sum of its proper divisors (402711000).

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

164663400 is a wasteful number, since it uses less digits than its factorization.

164663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 164663400 is about 12832.1237525205. The cubic root of 164663400 is about 548.1074344924.

The spelling of 164663400 in words is "one hundred sixty-four million, six hundred sixty-three thousand, four hundred".