96903540 has 144 divisors (see below), whose sum is σ = 309184512. Its totient is φ = 25474176.

The previous prime is 96903523. The next prime is 96903559. The reversal of 96903540 is 4530969.

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 = 96903495 and 96903504.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 617142 + ... + 617298.

Almost surely, 2^96903540 is an apocalyptic number.

96903540 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 96903540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154592256).

96903540 is an abundant number, since it is smaller than the sum of its proper divisors (212280972).

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

96903540 is a wasteful number, since it uses less digits than its factorization.

96903540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 96903540 is about 9843.9595691978. The cubic root of 96903540 is about 459.3177346359.

The spelling of 96903540 in words is "ninety-six million, nine hundred three thousand, five hundred forty".