1627960432 has 160 divisors (see below), whose sum is σ = 3979745280. Its totient is φ = 629544960.

The previous prime is 1627960427. The next prime is 1627960463. The reversal of 1627960432 is 2340697261.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4100458 + ... + 4100854.

It is an arithmetic number, because the mean of its divisors is an integer number (24873408).

Almost surely, 2^1627960432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1627960432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989872640).

1627960432 is an abundant number, since it is smaller than the sum of its proper divisors (2351784848).

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

1627960432 is a wasteful number, since it uses less digits than its factorization.

1627960432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 1627960432 is about 40347.9916724488. The cubic root of 1627960432 is about 1176.3808560196.

The spelling of 1627960432 in words is "one billion, six hundred twenty-seven million, nine hundred sixty thousand, four hundred thirty-two".