167949936 has 420 divisors, whose sum is σ = 648927216. Its totient is φ = 41057280.

The previous prime is 167949923. The next prime is 167949961. The reversal of 167949936 is 639949761.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2204496) is a multiple of the sum of its prime factors (72).

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 83 ways as a sum of consecutive naturals, for example, 9879400 + ... + 9879416.

Almost surely, 2^167949936 is an apocalyptic number.

167949936 is a gapful number since it is divisible by the number (16) 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 167949936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324463608).

167949936 is an abundant number, since it is smaller than the sum of its proper divisors (480977280).

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

167949936 is a wasteful number, since it uses less digits than its factorization.

167949936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 167949936 is about 12959.5499921872. The cubic root of 167949936 is about 551.7300192038.

It can be divided in two parts, 1679 and 49936, that added together give a palindrome (51615).

The spelling of 167949936 in words is "one hundred sixty-seven million, nine hundred forty-nine thousand, nine hundred thirty-six".