1285062240 has 288 divisors, whose sum is σ = 5137945344. Its totient is φ = 266972160.

The previous prime is 1285062199. The next prime is 1285062257. The reversal of 1285062240 is 422605821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1285062198 and 1285062207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256237 + ... + 261203.

It is an arithmetic number, because the mean of its divisors is an integer number (17840088).

Almost surely, 2^1285062240 is an apocalyptic number.

1285062240 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 1285062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568972672).

1285062240 is an abundant number, since it is smaller than the sum of its proper divisors (3852883104).

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

1285062240 is a wasteful number, since it uses less digits than its factorization.

1285062240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1285062240 is about 35847.7647838746. The cubic root of 1285062240 is about 1087.1965214756.

The spelling of 1285062240 in words is "one billion, two hundred eighty-five million, sixty-two thousand, two hundred forty".