83742432 has 24 divisors (see below), whose sum is σ = 219824136. Its totient is φ = 27914112.

The previous prime is 83742409. The next prime is 83742467. The reversal of 83742432 is 23424738.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83742393 and 83742402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 436063 + ... + 436254.

It is an arithmetic number, because the mean of its divisors is an integer number (9159339).

Almost surely, 2^83742432 is an apocalyptic number.

It is an amenable number.

83742432 is an abundant number, since it is smaller than the sum of its proper divisors (136081704).

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

83742432 is a wasteful number, since it uses less digits than its factorization.

83742432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872330 (or 872322 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 83742432 is about 9151.0891155097. The cubic root of 83742432 is about 437.5038271230.

The spelling of 83742432 in words is "eighty-three million, seven hundred forty-two thousand, four hundred thirty-two".