1285038720 has 576 divisors, whose sum is σ = 5373880200. Its totient is φ = 281788416.

The previous prime is 1285038707. The next prime is 1285038731. The reversal of 1285038720 is 278305821.

1285038720 is a `hidden beast` number, since 128 + 503 + 8 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 924646464 + 360392256 = 30408^2 + 18984^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8184882 + ... + 8185038.

Almost surely, 2^1285038720 is an apocalyptic number.

1285038720 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 1285038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686940100).

1285038720 is an abundant number, since it is smaller than the sum of its proper divisors (4088841480).

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

1285038720 is a wasteful number, since it uses less digits than its factorization.

1285038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

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

The square root of 1285038720 is about 35847.4367284468. The cubic root of 1285038720 is about 1087.1898885886.

The spelling of 1285038720 in words is "one billion, two hundred eighty-five million, thirty-eight thousand, seven hundred twenty".