1285920720 has 480 divisors, whose sum is σ = 5199667200. Its totient is φ = 284497920.

The previous prime is 1285920707. The next prime is 1285920751. The reversal of 1285920720 is 270295821.

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 95 ways as a sum of consecutive naturals, for example, 10125297 + ... + 10125423.

It is an arithmetic number, because the mean of its divisors is an integer number (10832640).

Almost surely, 2^1285920720 is an apocalyptic number.

1285920720 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 1285920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599833600).

1285920720 is an abundant number, since it is smaller than the sum of its proper divisors (3913746480).

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

1285920720 is a wasteful number, since it uses less digits than its factorization.

1285920720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1285920720 is about 35859.7367530773. The cubic root of 1285920720 is about 1087.4385664861.

The spelling of 1285920720 in words is "one billion, two hundred eighty-five million, nine hundred twenty thousand, seven hundred twenty".