171964416 has 96 divisors (see below), whose sum is σ = 493955280. Its totient is φ = 52887552.

The previous prime is 171964393. The next prime is 171964423. The reversal of 171964416 is 614469171.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78796 + ... + 80948.

Almost surely, 2^171964416 is an apocalyptic number.

171964416 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 171964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246977640).

171964416 is an abundant number, since it is smaller than the sum of its proper divisors (321990864).

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

171964416 is a wasteful number, since it uses less digits than its factorization.

171964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2171 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 171964416 is about 13113.5203511490. The cubic root of 171964416 is about 556.0914226079.

It can be divided in two parts, 17196 and 4416, that added together give a palindrome (21612).

The spelling of 171964416 in words is "one hundred seventy-one million, nine hundred sixty-four thousand, four hundred sixteen".