82450032 has 160 divisors (see below), whose sum is σ = 260554752. Its totient is φ = 21956352.

The previous prime is 82450021. The next prime is 82450061. The reversal of 82450032 is 23005428.

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

It is a junction number, because it is equal to n+sod(n) for n = 82449984 and 82450011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363103 + ... + 363329.

Almost surely, 2^82450032 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 82450032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277376).

82450032 is an abundant number, since it is smaller than the sum of its proper divisors (178104720).

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

82450032 is a wasteful number, since it uses less digits than its factorization.

82450032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 82450032 is about 9080.1999977974. The cubic root of 82450032 is about 435.2414777635.

The spelling of 82450032 in words is "eighty-two million, four hundred fifty thousand, thirty-two".