1632617952 has 96 divisors (see below), whose sum is σ = 4919346432. Its totient is φ = 464415744.

The previous prime is 1632617951. The next prime is 1632617957. The reversal of 1632617952 is 2597162361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632617951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151363 + ... + 161789.

It is an arithmetic number, because the mean of its divisors is an integer number (51243192).

Almost surely, 2^1632617952 is an apocalyptic number.

1632617952 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 1632617952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459673216).

1632617952 is an abundant number, since it is smaller than the sum of its proper divisors (3286728480).

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

1632617952 is a wasteful number, since it uses less digits than its factorization.

1632617952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10680 (or 10672 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 1632617952 is about 40405.6673252652. The cubic root of 1632617952 is about 1177.5016450498.

The spelling of 1632617952 in words is "one billion, six hundred thirty-two million, six hundred seventeen thousand, nine hundred fifty-two".