1285405632 has 672 divisors, whose sum is σ = 5003596800. Its totient is φ = 320495616.

The previous prime is 1285405631. The next prime is 1285405643. The reversal of 1285405632 is 2365045821.

1285405632 is a `hidden beast` number, since 12 + 8 + 5 + 4 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285405631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27349033 + ... + 27349079.

Almost surely, 2^1285405632 is an apocalyptic number.

1285405632 is a gapful number since it is divisible by the number (12) 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 1285405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501798400).

1285405632 is an abundant number, since it is smaller than the sum of its proper divisors (3718191168).

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

1285405632 is a wasteful number, since it uses less digits than its factorization.

1285405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

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

The square root of 1285405632 is about 35852.5540512806. The cubic root of 1285405632 is about 1087.2933524117.

The spelling of 1285405632 in words is "one billion, two hundred eighty-five million, four hundred five thousand, six hundred thirty-two".