1567998432 has 768 divisors, whose sum is σ = 6435072000. Its totient is φ = 365783040.

The previous prime is 1567998403. The next prime is 1567998491. The reversal of 1567998432 is 2348997651.

1567998432 is a `hidden beast` number, since 1 + 56 + 79 + 98 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42378318 + ... + 42378354.

It is an arithmetic number, because the mean of its divisors is an integer number (8379000).

Almost surely, 2^1567998432 is an apocalyptic number.

1567998432 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 1567998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536000).

1567998432 is an abundant number, since it is smaller than the sum of its proper divisors (4867073568).

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

1567998432 is a wasteful number, since it uses less digits than its factorization.

1567998432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1567998432 is about 39597.9599474518. The cubic root of 1567998432 is about 1161.7567594602.

It can be divided in two parts, 1567 and 998432, that added together give a palindrome (999999).

The spelling of 1567998432 in words is "one billion, five hundred sixty-seven million, nine hundred ninety-eight thousand, four hundred thirty-two".