167213640 has 128 divisors (see below), whose sum is σ = 551992320. Its totient is φ = 40185600.

The previous prime is 167213633. The next prime is 167213647. The reversal of 167213640 is 46312761.

It is an interprime number because it is at equal distance from previous prime (167213633) and next prime (167213647).

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 = 167213598 and 167213607.

It is not an unprimeable number, because it can be changed into a prime (167213647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172437 + ... + 173403.

It is an arithmetic number, because the mean of its divisors is an integer number (4312440).

Almost surely, 2^167213640 is an apocalyptic number.

167213640 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 167213640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275996160).

167213640 is an abundant number, since it is smaller than the sum of its proper divisors (384778680).

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

167213640 is a wasteful number, since it uses less digits than its factorization.

167213640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 167213640 is about 12931.1113211510. Note that the first 3 decimals coincide. The cubic root of 167213640 is about 550.9225728185.

The spelling of 167213640 in words is "one hundred sixty-seven million, two hundred thirteen thousand, six hundred forty".