96508440 has 144 divisors (see below), whose sum is σ = 364927680. Its totient is φ = 22055040.

The previous prime is 96508421. The next prime is 96508453. The reversal of 96508440 is 4480569.

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

It is a junction number, because it is equal to n+sod(n) for n = 96508395 and 96508404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14905 + ... + 20375.

It is an arithmetic number, because the mean of its divisors is an integer number (2534220).

Almost surely, 2^96508440 is an apocalyptic number.

96508440 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 96508440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182463840).

96508440 is an abundant number, since it is smaller than the sum of its proper divisors (268419240).

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

96508440 is a wasteful number, since it uses less digits than its factorization.

96508440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 96508440 is about 9823.8709274909. The cubic root of 96508440 is about 458.6926331560.

It can be divided in two parts, 96 and 508440, that added together give a triangular number (508536 = T₁₀₀₈).

The spelling of 96508440 in words is "ninety-six million, five hundred eight thousand, four hundred forty".