8203612032 has 384 divisors, whose sum is σ = 30719070720. Its totient is φ = 2037657600.

The previous prime is 8203612003. The next prime is 8203612073. The reversal of 8203612032 is 2302163028.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 8203611987 and 8203612005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2038182 + ... + 2042202.

It is an arithmetic number, because the mean of its divisors is an integer number (79997580).

Almost surely, 2^8203612032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8203612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359535360).

8203612032 is an abundant number, since it is smaller than the sum of its proper divisors (22515458688).

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

8203612032 is a wasteful number, since it uses less digits than its factorization.

8203612032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8203612032 is about 90573.7932958535. The cubic root of 8203612032 is about 2016.8257199538.

The spelling of 8203612032 in words is "eight billion, two hundred three million, six hundred twelve thousand, thirty-two".