96510960 has 320 divisors, whose sum is σ = 409973760. Its totient is φ = 20321280.

The previous prime is 96510949. The next prime is 96510971. The reversal of 96510960 is 6901569.

It is an interprime number because it is at equal distance from previous prime (96510949) and next prime (96510971).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196315 + ... + 196805.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 2^96510960 is an apocalyptic number.

96510960 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 96510960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204986880).

96510960 is an abundant number, since it is smaller than the sum of its proper divisors (313462800).

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

96510960 is a wasteful number, since it uses less digits than its factorization.

96510960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 96510960 is about 9823.9991856677. Note that the first 3 decimals coincide. The cubic root of 96510960 is about 458.6966255370.

The spelling of 96510960 in words is "ninety-six million, five hundred ten thousand, nine hundred sixty".