1285632000 has 520 divisors, whose sum is σ = 4947626112. Its totient is φ = 331776000.

The previous prime is 1285631999. The next prime is 1285632037. The reversal of 1285632000 is 2365821.

1285632000 is a `hidden beast` number, since 1 + 28 + 5 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41471985 + ... + 41472015.

Almost surely, 2^1285632000 is an apocalyptic number.

1285632000 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 1285632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473813056).

1285632000 is an abundant number, since it is smaller than the sum of its proper divisors (3661994112).

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

1285632000 is an frugal number, since it uses more digits than its factorization.

1285632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1285632000 is about 35855.7108422075. The cubic root of 1285632000 is about 1087.3571750600.

Adding to 1285632000 its reverse (2365821), we get a palindrome (1287997821).

The spelling of 1285632000 in words is "one billion, two hundred eighty-five million, six hundred thirty-two thousand".