167979420 has 120 divisors (see below), whose sum is σ = 602277984. Its totient is φ = 38392704.

The previous prime is 167979391. The next prime is 167979451. The reversal of 167979420 is 24979761.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3934 + ... + 18746.

Almost surely, 2^167979420 is an apocalyptic number.

167979420 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 167979420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301138992).

167979420 is an abundant number, since it is smaller than the sum of its proper divisors (434298564).

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

167979420 is a wasteful number, since it uses less digits than its factorization.

167979420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14841 (or 14830 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 167979420 is about 12960.6874817658. The cubic root of 167979420 is about 551.7623031420.

The spelling of 167979420 in words is "one hundred sixty-seven million, nine hundred seventy-nine thousand, four hundred twenty".