166333440 has 528 divisors, whose sum is σ = 705674592. Its totient is φ = 33030144.

The previous prime is 166333421. The next prime is 166333441. The reversal of 166333440 is 44333661.

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

It is a junction number, because it is equal to n+sod(n) for n = 166333398 and 166333407.

It is not an unprimeable number, because it can be changed into a prime (166333441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9784312 + ... + 9784328.

Almost surely, 2^166333440 is an apocalyptic number.

166333440 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 166333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352837296).

166333440 is an abundant number, since it is smaller than the sum of its proper divisors (539341152).

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

166333440 is a wasteful number, since it uses less digits than its factorization.

166333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 166333440 is about 12897.0322167544. The cubic root of 166333440 is about 549.9542000430.

The spelling of 166333440 in words is "one hundred sixty-six million, three hundred thirty-three thousand, four hundred forty".