1146647040 has 480 divisors, whose sum is σ = 4668611904. Its totient is φ = 237404160.

The previous prime is 1146647009. The next prime is 1146647053. The reversal of 1146647040 is 407466411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1146646992 and 1146647010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139382 + ... + 4139658.

Almost surely, 2^1146647040 is an apocalyptic number.

1146647040 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 1146647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334305952).

1146647040 is an abundant number, since it is smaller than the sum of its proper divisors (3521964864).

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

1146647040 is a wasteful number, since it uses less digits than its factorization.

1146647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1146647040 is about 33862.1771302437. The cubic root of 1146647040 is about 1046.6703413577.

The spelling of 1146647040 in words is "one billion, one hundred forty-six million, six hundred forty-seven thousand, forty".