1427632360 has 128 divisors (see below), whose sum is σ = 4018636800. Its totient is φ = 443439360.

The previous prime is 1427632337. The next prime is 1427632363. The reversal of 1427632360 is 632367241.

It is not an unprimeable number, because it can be changed into a prime (1427632363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166709 + ... + 1167931.

It is an arithmetic number, because the mean of its divisors is an integer number (31395600).

Almost surely, 2^1427632360 is an apocalyptic number.

1427632360 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 1427632360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009318400).

1427632360 is an abundant number, since it is smaller than the sum of its proper divisors (2591004440).

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

1427632360 is a wasteful number, since it uses less digits than its factorization.

1427632360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 1427632360 is about 37784.0225492205. The cubic root of 1427632360 is about 1126.0010474201.

The spelling of 1427632360 in words is "one billion, four hundred twenty-seven million, six hundred thirty-two thousand, three hundred sixty".