167082240 has 144 divisors (see below), whose sum is σ = 574838208. Its totient is φ = 41115648.

The previous prime is 167082211. The next prime is 167082263. The reversal of 167082240 is 42280761.

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 = 167082198 and 167082207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48247 + ... + 51593.

It is an arithmetic number, because the mean of its divisors is an integer number (3991932).

Almost surely, 2^167082240 is an apocalyptic number.

167082240 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 167082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287419104).

167082240 is an abundant number, since it is smaller than the sum of its proper divisors (407755968).

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

167082240 is a wasteful number, since it uses less digits than its factorization.

167082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 167082240 is about 12926.0295528055. The cubic root of 167082240 is about 550.7782261481.

The spelling of 167082240 in words is "one hundred sixty-seven million, eighty-two thousand, two hundred forty".