166026400 has 144 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 62899200.

The previous prime is 166026349. The next prime is 166026407. The reversal of 166026400 is 4620661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166026407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2101561 + ... + 2101639.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^166026400 is an apocalyptic number.

166026400 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 166026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

166026400 is an abundant number, since it is smaller than the sum of its proper divisors (261446240).

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

166026400 is a wasteful number, since it uses less digits than its factorization.

166026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 166026400 is about 12885.1232046884. The cubic root of 166026400 is about 549.6155991694.

The spelling of 166026400 in words is "one hundred sixty-six million, twenty-six thousand, four hundred".