1166870016 has 320 divisors, whose sum is σ = 3831421440. Its totient is φ = 348364800.

The previous prime is 1166869993. The next prime is 1166870041. The reversal of 1166870016 is 6100786611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7727541 + ... + 7727691.

It is an arithmetic number, because the mean of its divisors is an integer number (11973192).

Almost surely, 2^1166870016 is an apocalyptic number.

1166870016 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 1166870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915710720).

1166870016 is an abundant number, since it is smaller than the sum of its proper divisors (2664551424).

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

1166870016 is a wasteful number, since it uses less digits than its factorization.

1166870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1166870016 is about 34159.4791529379. The cubic root of 1166870016 is about 1052.7877592711.

The spelling of 1166870016 in words is "one billion, one hundred sixty-six million, eight hundred seventy thousand, sixteen".