96573960 has 192 divisors, whose sum is σ = 377769600. Its totient is φ = 20901888.

The previous prime is 96573943. The next prime is 96573977. The reversal of 96573960 is 6937569.

It is an interprime number because it is at equal distance from previous prime (96573943) and next prime (96573977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46872 + ... + 48888.

It is an arithmetic number, because the mean of its divisors is an integer number (1967550).

Almost surely, 2^96573960 is an apocalyptic number.

96573960 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 96573960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188884800).

96573960 is an abundant number, since it is smaller than the sum of its proper divisors (281195640).

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

96573960 is a wasteful number, since it uses less digits than its factorization.

96573960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 96573960 is about 9827.2050960586. The cubic root of 96573960 is about 458.7964124826.

It can be divided in two parts, 96 and 573960, that added together give a triangular number (574056 = T₁₀₇₁).

The spelling of 96573960 in words is "ninety-six million, five hundred seventy-three thousand, nine hundred sixty".