96233280 has 224 divisors, whose sum is σ = 359468928. Its totient is φ = 21504000.

The previous prime is 96233261. The next prime is 96233287. The reversal of 96233280 is 8233269.

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 (96233287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136930 + ... + 137630.

It is an arithmetic number, because the mean of its divisors is an integer number (1604772).

Almost surely, 2^96233280 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 96233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

96233280 is an abundant number, since it is smaller than the sum of its proper divisors (263235648).

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

96233280 is a wasteful number, since it uses less digits than its factorization.

96233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 96233280 is about 9809.8562680602. The cubic root of 96233280 is about 458.2562844220.

Subtracting from 96233280 its reverse (8233269), we obtain a triangular number (88000011 = T₁₃₂₆₆).

The spelling of 96233280 in words is "ninety-six million, two hundred thirty-three thousand, two hundred eighty".