1230964560 has 320 divisors, whose sum is σ = 5131814400. Its totient is φ = 264757248.

The previous prime is 1230964541. The next prime is 1230964583. The reversal of 1230964560 is 654690321.

It is a happy number.

1230964560 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 9 + 645 + 6 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 254646 + ... + 259434.

It is an arithmetic number, because the mean of its divisors is an integer number (16036920).

Almost surely, 2^1230964560 is an apocalyptic number.

1230964560 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 1230964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565907200).

1230964560 is an abundant number, since it is smaller than the sum of its proper divisors (3900849840).

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

1230964560 is a wasteful number, since it uses less digits than its factorization.

1230964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1230964560 is about 35085.1045316955. The cubic root of 1230964560 is about 1071.7212695177.

The spelling of 1230964560 in words is "one billion, two hundred thirty million, nine hundred sixty-four thousand, five hundred sixty".