161277984 has 72 divisors (see below), whose sum is σ = 524160000. Its totient is φ = 46078848.

The previous prime is 161277979. The next prime is 161278003. The reversal of 161277984 is 489772161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 37984 + ... + 42015.

It is an arithmetic number, because the mean of its divisors is an integer number (7280000).

Almost surely, 2^161277984 is an apocalyptic number.

161277984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

161277984 is an abundant number, since it is smaller than the sum of its proper divisors (362882016).

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

161277984 is a wasteful number, since it uses less digits than its factorization.

161277984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80022 (or 80011 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 161277984 is about 12699.5269203227. The cubic root of 161277984 is about 544.3251012361.

It can be divided in two parts, 161277 and 984, that added together give a palindrome (162261).

The spelling of 161277984 in words is "one hundred sixty-one million, two hundred seventy-seven thousand, nine hundred eighty-four".