167412420 has 432 divisors, whose sum is σ = 662276160. Its totient is φ = 35271936.

The previous prime is 167412403. The next prime is 167412437. The reversal of 167412420 is 24214761.

It is an interprime number because it is at equal distance from previous prime (167412403) and next prime (167412437).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 4524642 + ... + 4524678.

Almost surely, 2^167412420 is an apocalyptic number.

167412420 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 167412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331138080).

167412420 is an abundant number, since it is smaller than the sum of its proper divisors (494863740).

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

167412420 is a wasteful number, since it uses less digits than its factorization.

167412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 167412420 is about 12938.7951525635. The cubic root of 167412420 is about 551.1407946939.

The spelling of 167412420 in words is "one hundred sixty-seven million, four hundred twelve thousand, four hundred twenty".