1230858720 has 768 divisors, whose sum is σ = 5527388160. Its totient is φ = 248832000.

The previous prime is 1230858679. The next prime is 1230858737. The reversal of 1230858720 is 278580321.

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 127 ways as a sum of consecutive naturals, for example, 12186670 + ... + 12186770.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2^1230858720 is an apocalyptic number.

1230858720 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 1230858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

1230858720 is an abundant number, since it is smaller than the sum of its proper divisors (4296529440).

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

1230858720 is a wasteful number, since it uses less digits than its factorization.

1230858720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1230858720 is about 35083.5961668698. The cubic root of 1230858720 is about 1071.6905526220.

The spelling of 1230858720 in words is "one billion, two hundred thirty million, eight hundred fifty-eight thousand, seven hundred twenty".