96741540 has 240 divisors, whose sum is σ = 365904000. Its totient is φ = 20901888.

The previous prime is 96741539. The next prime is 96741553. The reversal of 96741540 is 4514769.

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 = 96741495 and 96741504.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215236 + ... + 215684.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 2^96741540 is an apocalyptic number.

96741540 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 96741540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952000).

96741540 is an abundant number, since it is smaller than the sum of its proper divisors (269162460).

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

96741540 is a wasteful number, since it uses less digits than its factorization.

96741540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 96741540 is about 9835.7277310832. The cubic root of 96741540 is about 459.0616346811.

The spelling of 96741540 in words is "ninety-six million, seven hundred forty-one thousand, five hundred forty".