820537632 has 72 divisors (see below), whose sum is σ = 2355299856. Its totient is φ = 270946176.

The previous prime is 820537579. The next prime is 820537637. The reversal of 820537632 is 236735028.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (820537637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17503 + ... + 44129.

It is an arithmetic number, because the mean of its divisors is an integer number (32712498).

Almost surely, 2^820537632 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 820537632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177649928).

820537632 is an abundant number, since it is smaller than the sum of its proper divisors (1534762224).

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

820537632 is a wasteful number, since it uses less digits than its factorization.

820537632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26750 (or 26739 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 820537632 is about 28645.0280502568. The cubic root of 820537632 is about 936.1946778933.

The spelling of 820537632 in words is "eight hundred twenty million, five hundred thirty-seven thousand, six hundred thirty-two".