167401620 has 96 divisors (see below), whose sum is σ = 524509440. Its totient is φ = 44323200.

The previous prime is 167401603. The next prime is 167401679. The reversal of 167401620 is 26104761.

167401620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80514 + ... + 82566.

It is an arithmetic number, because the mean of its divisors is an integer number (5463640).

Almost surely, 2^167401620 is an apocalyptic number.

167401620 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 167401620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262254720).

167401620 is an abundant number, since it is smaller than the sum of its proper divisors (357107820).

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

167401620 is a wasteful number, since it uses less digits than its factorization.

167401620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 167401620 is about 12938.3777963082. The cubic root of 167401620 is about 551.1289428281.

The spelling of 167401620 in words is "one hundred sixty-seven million, four hundred one thousand, six hundred twenty".