1233560640 has 224 divisors, whose sum is σ = 4265493120. Its totient is φ = 300220416.

The previous prime is 1233560567. The next prime is 1233560659. The reversal of 1233560640 is 460653321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1233560598 and 1233560607.

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, 1210051 + ... + 1211069.

It is an arithmetic number, because the mean of its divisors is an integer number (19042380).

Almost surely, 2^1233560640 is an apocalyptic number.

1233560640 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 1233560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132746560).

1233560640 is an abundant number, since it is smaller than the sum of its proper divisors (3031932480).

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

1233560640 is a wasteful number, since it uses less digits than its factorization.

1233560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1233560640 is about 35122.0819428462. The cubic root of 1233560640 is about 1072.4741535058.

The spelling of 1233560640 in words is "one billion, two hundred thirty-three million, five hundred sixty thousand, six hundred forty".