166959840 has 96 divisors (see below), whose sum is σ = 553633920. Its totient is φ = 42177024.

The previous prime is 166959809. The next prime is 166959847. The reversal of 166959840 is 48959661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 166959840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166959847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34 + ... + 18273.

It is an arithmetic number, because the mean of its divisors is an integer number (5767020).

Almost surely, 2^166959840 is an apocalyptic number.

166959840 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 166959840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276816960).

166959840 is an abundant number, since it is smaller than the sum of its proper divisors (386674080).

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

166959840 is a wasteful number, since it uses less digits than its factorization.

166959840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18344 (or 18336 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 166959840 is about 12921.2940528416. The cubic root of 166959840 is about 550.6436981380.

The spelling of 166959840 in words is "one hundred sixty-six million, nine hundred fifty-nine thousand, eight hundred forty".