83274048 has 224 divisors, whose sum is σ = 288462720. Its totient is φ = 23224320.

The previous prime is 83274047. The next prime is 83274071. The reversal of 83274048 is 84047238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83274043) 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, 246936 + ... + 247272.

It is an arithmetic number, because the mean of its divisors is an integer number (1287780).

Almost surely, 2^83274048 is an apocalyptic number.

83274048 is a gapful number since it is divisible by the number (88) 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 83274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144231360).

83274048 is an abundant number, since it is smaller than the sum of its proper divisors (205188672).

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

83274048 is a wasteful number, since it uses less digits than its factorization.

83274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 83274048 is about 9125.4615225752. The cubic root of 83274048 is about 436.6866267770.

The spelling of 83274048 in words is "eighty-three million, two hundred seventy-four thousand, forty-eight".