167661620 has 48 divisors (see below), whose sum is σ = 406116480. Its totient is φ = 56951424.

The previous prime is 167661589. The next prime is 167661623. The reversal of 167661620 is 26166761.

167661620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×167661620² = 56220837642048800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167661623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9767 + ... + 20753.

It is an arithmetic number, because the mean of its divisors is an integer number (8460760).

Almost surely, 2^167661620 is an apocalyptic number.

167661620 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 167661620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203058240).

167661620 is an abundant number, since it is smaller than the sum of its proper divisors (238454860).

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

167661620 is a wasteful number, since it uses less digits than its factorization.

167661620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 167661620 is about 12948.4215254215. The cubic root of 167661620 is about 551.4141240659.

The spelling of 167661620 in words is "one hundred sixty-seven million, six hundred sixty-one thousand, six hundred twenty".