83228640 has 144 divisors (see below), whose sum is σ = 288371664. Its totient is φ = 20162560.

The previous prime is 83228599. The next prime is 83228641. The reversal of 83228640 is 4682238.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83228641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57364 + ... + 58796.

It is an arithmetic number, because the mean of its divisors is an integer number (2002581).

Almost surely, 2^83228640 is an apocalyptic number.

83228640 is a gapful number since it is divisible by the number (80) 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 83228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144185832).

83228640 is an abundant number, since it is smaller than the sum of its proper divisors (205143024).

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

83228640 is a wasteful number, since it uses less digits than its factorization.

83228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 83228640 is about 9122.9731995660. The cubic root of 83228640 is about 436.6072396127.

The spelling of 83228640 in words is "eighty-three million, two hundred twenty-eight thousand, six hundred forty".