96353280 has 352 divisors, whose sum is σ = 371407680. Its totient is φ = 23592960.

The previous prime is 96353273. The next prime is 96353317. The reversal of 96353280 is 8235369.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350060 + ... + 2350100.

Almost surely, 2^96353280 is an apocalyptic number.

96353280 is a gapful number since it is divisible by the number (90) 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 96353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185703840).

96353280 is an abundant number, since it is smaller than the sum of its proper divisors (275054400).

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

96353280 is a wasteful number, since it uses less digits than its factorization.

96353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 96353280 is about 9815.9706601029. The cubic root of 96353280 is about 458.4466825625.

The spelling of 96353280 in words is "ninety-six million, three hundred fifty-three thousand, two hundred eighty".