1285435620 has 216 divisors, whose sum is σ = 4803120504. Its totient is φ = 276498432.

The previous prime is 1285435609. The next prime is 1285435621. The reversal of 1285435620 is 265345821.

1285435620 is a `hidden beast` number, since 1 + 28 + 5 + 4 + 3 + 5 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 176145984 + 1109289636 = 13272^2 + 33306^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1285435621) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145654 + ... + 154226.

It is an arithmetic number, because the mean of its divisors is an integer number (22236669).

Almost surely, 2^1285435620 is an apocalyptic number.

1285435620 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 1285435620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401560252).

1285435620 is an abundant number, since it is smaller than the sum of its proper divisors (3517684884).

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

1285435620 is a wasteful number, since it uses less digits than its factorization.

1285435620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1285435620 is about 35852.9722617247. The cubic root of 1285435620 is about 1087.3018077192.

The spelling of 1285435620 in words is "one billion, two hundred eighty-five million, four hundred thirty-five thousand, six hundred twenty".