168896400 has 120 divisors (see below), whose sum is σ = 546985824. Its totient is φ = 44544000.

The previous prime is 168896393. The next prime is 168896443. The reversal of 168896400 is 4698861.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115675 + ... + 117125.

Almost surely, 2^168896400 is an apocalyptic number.

168896400 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 168896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273492912).

168896400 is an abundant number, since it is smaller than the sum of its proper divisors (378089424).

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

168896400 is a wasteful number, since it uses less digits than its factorization.

168896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 168896400 is about 12996.0147737681. The cubic root of 168896400 is about 552.7644837047.

The spelling of 168896400 in words is "one hundred sixty-eight million, eight hundred ninety-six thousand, four hundred".