166544400 has 360 divisors, whose sum is σ = 621682432. Its totient is φ = 38016000.

The previous prime is 166544383. The next prime is 166544407. The reversal of 166544400 is 4445661.

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

It is not an unprimeable number, because it can be changed into a prime (166544407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4501182 + ... + 4501218.

Almost surely, 2^166544400 is an apocalyptic number.

166544400 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 166544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310841216).

166544400 is an abundant number, since it is smaller than the sum of its proper divisors (455138032).

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

166544400 is a wasteful number, since it uses less digits than its factorization.

166544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 166544400 is about 12905.2082509350. The cubic root of 166544400 is about 550.1866033489.

The spelling of 166544400 in words is "one hundred sixty-six million, five hundred forty-four thousand, four hundred".