166451040 has 288 divisors, whose sum is σ = 664372800. Its totient is φ = 37933056.

The previous prime is 166451011. The next prime is 166451053. The reversal of 166451040 is 40154661.

166451040 is a `hidden beast` number, since 1 + 6 + 645 + 10 + 4 + 0 = 666.

166451040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 166450995 and 166451013.

It is a congruent number.

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, 493752 + ... + 494088.

It is an arithmetic number, because the mean of its divisors is an integer number (2306850).

Almost surely, 2^166451040 is an apocalyptic number.

166451040 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 166451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332186400).

166451040 is an abundant number, since it is smaller than the sum of its proper divisors (497921760).

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

166451040 is a wasteful number, since it uses less digits than its factorization.

166451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 166451040 is about 12901.5905996121. The cubic root of 166451040 is about 550.0837778716.

The spelling of 166451040 in words is "one hundred sixty-six million, four hundred fifty-one thousand, forty".