820403232 has 72 divisors (see below), whose sum is σ = 2367168048. Its totient is φ = 248603520.

The previous prime is 820403231. The next prime is 820403249. The reversal of 820403232 is 232304028.

It is a super-2 number, since 2×820403232² = 1346122926152091648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (820403231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23698 + ... + 46929.

It is an arithmetic number, because the mean of its divisors is an integer number (32877334).

Almost surely, 2^820403232 is an apocalyptic number.

It is an amenable number.

820403232 is an abundant number, since it is smaller than the sum of its proper divisors (1546764816).

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

820403232 is a wasteful number, since it uses less digits than its factorization.

820403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70662 (or 70643 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 820403232 is about 28642.6819973270. The cubic root of 820403232 is about 936.1435604185.

The spelling of 820403232 in words is "eight hundred twenty million, four hundred three thousand, two hundred thirty-two".