1642520832 has 72 divisors (see below), whose sum is σ = 4377512160. Its totient is φ = 546754560.

The previous prime is 1642520809. The next prime is 1642520851. The reversal of 1642520832 is 2380252461.

It is a junction number, because it is equal to n+sod(n) for n = 1642520793 and 1642520802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013719 + ... + 1015337.

It is an arithmetic number, because the mean of its divisors is an integer number (60798780).

Almost surely, 2^1642520832 is an apocalyptic number.

1642520832 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 1642520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188756080).

1642520832 is an abundant number, since it is smaller than the sum of its proper divisors (2734991328).

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

1642520832 is a wasteful number, since it uses less digits than its factorization.

1642520832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1642520832 is about 40528.0252664746. The cubic root of 1642520832 is about 1179.8776163412.

The spelling of 1642520832 in words is "one billion, six hundred forty-two million, five hundred twenty thousand, eight hundred thirty-two".