1283187960 has 128 divisors (see below), whose sum is σ = 4415385600. Its totient is φ = 331136640.

The previous prime is 1283187959. The next prime is 1283187979. The reversal of 1283187960 is 697813821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14317 + ... + 52643.

It is an arithmetic number, because the mean of its divisors is an integer number (34495200).

Almost surely, 2^1283187960 is an apocalyptic number.

1283187960 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 1283187960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207692800).

1283187960 is an abundant number, since it is smaller than the sum of its proper divisors (3132197640).

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

1283187960 is a wasteful number, since it uses less digits than its factorization.

1283187960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38378 (or 38368 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1283187960 is about 35821.6130290081. The cubic root of 1283187960 is about 1086.6677008701.

The spelling of 1283187960 in words is "one billion, two hundred eighty-three million, one hundred eighty-seven thousand, nine hundred sixty".