1016416800 has 648 divisors, whose sum is σ = 4329941616. Its totient is φ = 223534080.

The previous prime is 1016416771. The next prime is 1016416811. The reversal of 1016416800 is 86146101.

1016416800 is a `hidden beast` number, since 10 + 1 + 641 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1016416800² = 2066206222644480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15170367 + ... + 15170433.

Almost surely, 2^1016416800 is an apocalyptic number.

1016416800 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 1016416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164970808).

1016416800 is an abundant number, since it is smaller than the sum of its proper divisors (3313524816).

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

1016416800 is a wasteful number, since it uses less digits than its factorization.

1016416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1016416800 is about 31881.2923201052. The cubic root of 1016416800 is about 1005.4425911287.

The spelling of 1016416800 in words is "one billion, sixteen million, four hundred sixteen thousand, eight hundred".