83232408 has 128 divisors (see below), whose sum is σ = 254776320. Its totient is φ = 22118400.

The previous prime is 83232403. The next prime is 83232431. The reversal of 83232408 is 80423238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83232403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431160 + ... + 431352.

It is an arithmetic number, because the mean of its divisors is an integer number (1990440).

Almost surely, 2^83232408 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 83232408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127388160).

83232408 is an abundant number, since it is smaller than the sum of its proper divisors (171543912).

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

83232408 is a wasteful number, since it uses less digits than its factorization.

83232408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83232408 is about 9123.1797088515. The cubic root of 83232408 is about 436.6138283352.

It can be divided in two parts, 8323 and 2408, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 83232408 in words is "eighty-three million, two hundred thirty-two thousand, four hundred eight".