1632846852 has 288 divisors, whose sum is σ = 5499603200. Its totient is φ = 396389376.

The previous prime is 1632846847. The next prime is 1632846877. The reversal of 1632846852 is 2586482361.

1632846852 is a `hidden beast` number, since 1 + 632 + 8 + 4 + 6 + 8 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1632846798 and 1632846807.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2302674 + ... + 2303382.

Almost surely, 2^1632846852 is an apocalyptic number.

1632846852 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 1632846852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749801600).

1632846852 is an abundant number, since it is smaller than the sum of its proper divisors (3866756348).

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

1632846852 is a wasteful number, since it uses less digits than its factorization.

1632846852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 790 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1632846852 is about 40408.4997494339. The cubic root of 1632846852 is about 1177.5566727291.

The spelling of 1632846852 in words is "one billion, six hundred thirty-two million, eight hundred forty-six thousand, eight hundred fifty-two".