96461520 has 80 divisors (see below), whose sum is σ = 306355392. Its totient is φ = 25093120.

The previous prime is 96461509. The next prime is 96461579. The reversal of 96461520 is 2516469.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4939 + ... + 14741.

Almost surely, 2^96461520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153177696).

96461520 is an abundant number, since it is smaller than the sum of its proper divisors (209893872).

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

96461520 is a wasteful number, since it uses less digits than its factorization.

96461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 96461520 is about 9821.4825764749. The cubic root of 96461520 is about 458.6182861280.

Adding to 96461520 its reverse (2516469), we get a palindrome (98977989).

The spelling of 96461520 in words is "ninety-six million, four hundred sixty-one thousand, five hundred twenty".