1632516048 has 180 divisors, whose sum is σ = 4840565184. Its totient is φ = 513360000.

The previous prime is 1632516047. The next prime is 1632516059. The reversal of 1632516048 is 8406152361.

It is a happy number.

1632516048 is a `hidden beast` number, since 1 + 632 + 5 + 16 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632516047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6503923 + ... + 6504173.

Almost surely, 2^1632516048 is an apocalyptic number.

1632516048 is a gapful number since it is divisible by the number (18) 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 1632516048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420282592).

1632516048 is an abundant number, since it is smaller than the sum of its proper divisors (3208049136).

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

1632516048 is a wasteful number, since it uses less digits than its factorization.

1632516048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1632516048 is about 40404.4062943635. The cubic root of 1632516048 is about 1177.4771456205.

The spelling of 1632516048 in words is "one billion, six hundred thirty-two million, five hundred sixteen thousand, forty-eight".