1230567840 has 144 divisors (see below), whose sum is σ = 4241391336. Its totient is φ = 324864000.

The previous prime is 1230567829. The next prime is 1230567841. The reversal of 1230567840 is 487650321.

1230567840 is a `hidden beast` number, since 12 + 3 + 0 + 567 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1230325776 + 242064 = 35076^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1230567795 and 1230567804.

It is not an unprimeable number, because it can be changed into a prime (1230567841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141210 + ... + 149670.

Almost surely, 2^1230567840 is an apocalyptic number.

1230567840 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 1230567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120695668).

1230567840 is an abundant number, since it is smaller than the sum of its proper divisors (3010823496).

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

1230567840 is a wasteful number, since it uses less digits than its factorization.

1230567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1230567840 is about 35079.4503947824. The cubic root of 1230567840 is about 1071.6061243274.

The spelling of 1230567840 in words is "one billion, two hundred thirty million, five hundred sixty-seven thousand, eight hundred forty".