167485440 has 224 divisors, whose sum is σ = 566196480. Its totient is φ = 42205184.

The previous prime is 167485429. The next prime is 167485447. The reversal of 167485440 is 44584761.

It is a super-2 number, since 2×167485440² = 56102745223987200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167485447) by changing a digit.

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, 3563497 + ... + 3563543.

Almost surely, 2^167485440 is an apocalyptic number.

167485440 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 167485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283098240).

167485440 is an abundant number, since it is smaller than the sum of its proper divisors (398711040).

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

167485440 is an equidigital number, since it uses as much as digits as its factorization.

167485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 167485440 is about 12941.6165914464. The cubic root of 167485440 is about 551.2209131047.

The spelling of 167485440 in words is "one hundred sixty-seven million, four hundred eighty-five thousand, four hundred forty".