1287676400 has 60 divisors (see below), whose sum is σ = 3104483592. Its totient is φ = 513265920.

The previous prime is 1287676399. The next prime is 1287676447. The reversal of 1287676400 is 46767821.

It is a super-2 number, since 2×1287676400² = 3316221022233920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111707 + ... + 122693.

Almost surely, 2^1287676400 is an apocalyptic number.

1287676400 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 1287676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552241796).

1287676400 is an abundant number, since it is smaller than the sum of its proper divisors (1816807192).

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

1287676400 is a wasteful number, since it uses less digits than its factorization.

1287676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11298 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 1287676400 is about 35884.2082259035. The cubic root of 1287676400 is about 1087.9332382261.

The spelling of 1287676400 in words is "one billion, two hundred eighty-seven million, six hundred seventy-six thousand, four hundred".