1536400632 has 96 divisors (see below), whose sum is σ = 4216978800. Its totient is φ = 466172928.

The previous prime is 1536400609. The next prime is 1536400637. The reversal of 1536400632 is 2360046351.

It is a self number, because there is not a number n which added to its sum of digits gives 1536400632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536400637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293494 + ... + 298682.

Almost surely, 2^1536400632 is an apocalyptic number.

1536400632 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 1536400632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108489400).

1536400632 is an abundant number, since it is smaller than the sum of its proper divisors (2680578168).

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

1536400632 is a wasteful number, since it uses less digits than its factorization.

1536400632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1536400632 is about 39196.9467178248. The cubic root of 1536400632 is about 1153.8999619926.

Adding to 1536400632 its reverse (2360046351), we get a palindrome (3896446983).

The spelling of 1536400632 in words is "one billion, five hundred thirty-six million, four hundred thousand, six hundred thirty-two".