96506280 has 192 divisors, whose sum is σ = 357935760. Its totient is φ = 22339584.

The previous prime is 96506279. The next prime is 96506299. The reversal of 96506280 is 8260569.

It can be written as a sum of positive squares in 8 ways, for example, as 13003236 + 83503044 = 3606^2 + 9138^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78954 + ... + 80166.

Almost surely, 2^96506280 is an apocalyptic number.

96506280 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 96506280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178967880).

96506280 is an abundant number, since it is smaller than the sum of its proper divisors (261429480).

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

96506280 is a wasteful number, since it uses less digits than its factorization.

96506280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96506280 is about 9823.7609905779. The cubic root of 96506280 is about 458.6892110599.

The spelling of 96506280 in words is "ninety-six million, five hundred six thousand, two hundred eighty".