1146599680 has 288 divisors, whose sum is σ = 3178828800. Its totient is φ = 393609216.

The previous prime is 1146599659. The next prime is 1146599681. The reversal of 1146599680 is 869956411.

It is a super-2 number, since 2×1146599680² = 2629381652352204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1146599681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14513881 + ... + 14513959.

It is an arithmetic number, because the mean of its divisors is an integer number (11037600).

Almost surely, 2^1146599680 is an apocalyptic number.

1146599680 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 1146599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589414400).

1146599680 is an abundant number, since it is smaller than the sum of its proper divisors (2032229120).

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

1146599680 is a wasteful number, since it uses less digits than its factorization.

1146599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The square root of 1146599680 is about 33861.4778177208. The cubic root of 1146599680 is about 1046.6559309396.

The spelling of 1146599680 in words is "one billion, one hundred forty-six million, five hundred ninety-nine thousand, six hundred eighty".