1287615420 has 192 divisors, whose sum is σ = 4930544640. Its totient is φ = 271662336.

The previous prime is 1287615419. The next prime is 1287615481. The reversal of 1287615420 is 245167821.

1287615420 is a `hidden beast` number, since 12 + 8 + 7 + 615 + 4 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 36039 + ... + 62241.

It is an arithmetic number, because the mean of its divisors is an integer number (25679920).

Almost surely, 2^1287615420 is an apocalyptic number.

1287615420 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 1287615420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465272320).

1287615420 is an abundant number, since it is smaller than the sum of its proper divisors (3642929220).

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

1287615420 is a wasteful number, since it uses less digits than its factorization.

1287615420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26241 (or 26233 counting only the distinct ones).

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

The square root of 1287615420 is about 35883.3585384646. The cubic root of 1287615420 is about 1087.9160643419.

The spelling of 1287615420 in words is "one billion, two hundred eighty-seven million, six hundred fifteen thousand, four hundred twenty".