168892416 has 432 divisors, whose sum is σ = 655429320. Its totient is φ = 41287680.

The previous prime is 168892411. The next prime is 168892417. The reversal of 168892416 is 614298861.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168892411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9934840 + ... + 9934856.

Almost surely, 2^168892416 is an apocalyptic number.

168892416 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 168892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327714660).

168892416 is an abundant number, since it is smaller than the sum of its proper divisors (486536904).

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

168892416 is a wasteful number, since it uses less digits than its factorization.

168892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 168892416 is about 12995.8614951068. The cubic root of 168892416 is about 552.7601373894.

The spelling of 168892416 in words is "one hundred sixty-eight million, eight hundred ninety-two thousand, four hundred sixteen".