167968080 has 450 divisors, whose sum is σ = 709411626. Its totient is φ = 36723456.

The previous prime is 167968079. The next prime is 167968111. The reversal of 167968080 is 80869761.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 33593616 = 11592^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7302949 + ... + 7302971.

Almost surely, 2^167968080 is an apocalyptic number.

167968080 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 167968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354705813).

167968080 is an abundant number, since it is smaller than the sum of its proper divisors (541443546).

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

167968080 is a wasteful number, since it uses less digits than its factorization.

167968080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 167968080 is about 12960.2499975888. The cubic root of 167968080 is about 551.7498866898.

Multiplying 167968080 by its sum of digits (45), we get a square (7558563600 = 86940²).

167968080 divided by its sum of digits (45) gives a square (3732624 = 1932²).

The spelling of 167968080 in words is "one hundred sixty-seven million, nine hundred sixty-eight thousand, eighty".