1146631680 has 320 divisors, whose sum is σ = 4163037120. Its totient is φ = 299040768.

The previous prime is 1146631643. The next prime is 1146631699. The reversal of 1146631680 is 861366411.

1146631680 is a `hidden beast` number, since 1 + 14 + 6 + 631 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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, 3663204 + ... + 3663516.

It is an arithmetic number, because the mean of its divisors is an integer number (13009491).

Almost surely, 2^1146631680 is an apocalyptic number.

1146631680 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 1146631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081518560).

1146631680 is an abundant number, since it is smaller than the sum of its proper divisors (3016405440).

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

1146631680 is an equidigital number, since it uses as much as digits as its factorization.

1146631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1146631680 is about 33861.9503277646. The cubic root of 1146631680 is about 1046.6656677521.

The spelling of 1146631680 in words is "one billion, one hundred forty-six million, six hundred thirty-one thousand, six hundred eighty".