1146610080 has 576 divisors, whose sum is σ = 5072191488. Its totient is φ = 237634560.

The previous prime is 1146610063. The next prime is 1146610117. The reversal of 1146610080 is 800166411.

1146610080 is a `hidden beast` number, since 1 + 1 + 46 + 610 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 2993569 + ... + 2993951.

It is an arithmetic number, because the mean of its divisors is an integer number (8805888).

Almost surely, 2^1146610080 is an apocalyptic number.

1146610080 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 1146610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536095744).

1146610080 is an abundant number, since it is smaller than the sum of its proper divisors (3925581408).

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

1146610080 is a wasteful number, since it uses less digits than its factorization.

1146610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 411 counting only the distinct ones).

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

The square root of 1146610080 is about 33861.6313842083. The cubic root of 1146610080 is about 1046.6590954235.

Adding to 1146610080 its reverse (800166411), we get a palindrome (1946776491).

The spelling of 1146610080 in words is "one billion, one hundred forty-six million, six hundred ten thousand, eighty".