96323760 has 240 divisors, whose sum is σ = 358289568. Its totient is φ = 23040000.

The previous prime is 96323753. The next prime is 96323767. The reversal of 96323760 is 6732369.

It is an interprime number because it is at equal distance from previous prime (96323753) and next prime (96323767).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (96323767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383635 + ... + 383885.

Almost surely, 2^96323760 is an apocalyptic number.

96323760 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 96323760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

96323760 is an abundant number, since it is smaller than the sum of its proper divisors (261965808).

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

96323760 is a wasteful number, since it uses less digits than its factorization.

96323760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 96323760 is about 9814.4668729381. The cubic root of 96323760 is about 458.3998592874.

The spelling of 96323760 in words is "ninety-six million, three hundred twenty-three thousand, seven hundred sixty".