166762640 has 80 divisors (see below), whose sum is σ = 436686336. Its totient is φ = 58675200.

The previous prime is 166762637. The next prime is 166762657. The reversal of 166762640 is 46267661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 166762594 and 166762603.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24224 + ... + 30336.

Almost surely, 2^166762640 is an apocalyptic number.

166762640 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 166762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218343168).

166762640 is an abundant number, since it is smaller than the sum of its proper divisors (269923696).

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

166762640 is a wasteful number, since it uses less digits than its factorization.

166762640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 166762640 is about 12913.6609836251. The cubic root of 166762640 is about 550.4268202013.

The spelling of 166762640 in words is "one hundred sixty-six million, seven hundred sixty-two thousand, six hundred forty".