1217386632 has 128 divisors (see below), whose sum is σ = 3815424000. Its totient is φ = 314457600.

The previous prime is 1217386607. The next prime is 1217386663. The reversal of 1217386632 is 2366837121.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351244 + ... + 354692.

It is an arithmetic number, because the mean of its divisors is an integer number (29808000).

Almost surely, 2^1217386632 is an apocalyptic number.

1217386632 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 1217386632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907712000).

1217386632 is an abundant number, since it is smaller than the sum of its proper divisors (2598037368).

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

1217386632 is a wasteful number, since it uses less digits than its factorization.

1217386632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3663 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 1217386632 is about 34891.0680833935. The cubic root of 1217386632 is about 1067.7662171174.

The spelling of 1217386632 in words is "one billion, two hundred seventeen million, three hundred eighty-six thousand, six hundred thirty-two".