916886400 has 192 divisors, whose sum is σ = 3045006000. Its totient is φ = 242483200.

The previous prime is 916886339. The next prime is 916886419. The reversal of 916886400 is 4688619.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1430080 + ... + 1430720.

Almost surely, 2^916886400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522503000).

916886400 is an abundant number, since it is smaller than the sum of its proper divisors (2128119600).

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

916886400 is a wasteful number, since it uses less digits than its factorization.

916886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 800 counting only the distinct ones).

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

The square root of 916886400 is about 30280.1321001081. The cubic root of 916886400 is about 971.4903931656.

The spelling of 916886400 in words is "nine hundred sixteen million, eight hundred eighty-six thousand, four hundred".