96675840 has 144 divisors (see below), whose sum is σ = 335380500. Its totient is φ = 25755648.

The previous prime is 96675811. The next prime is 96675847. The reversal of 96675840 is 4857669.

96675840 is a `hidden beast` number, since 9 + 6 + 67 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 2663424 = 9696^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (96675847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91636 + ... + 92684.

Almost surely, 2^96675840 is an apocalyptic number.

96675840 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 96675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167690250).

96675840 is an abundant number, since it is smaller than the sum of its proper divisors (238704660).

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

96675840 is a wasteful number, since it uses less digits than its factorization.

96675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96675840 is about 9832.3872991253. The cubic root of 96675840 is about 458.9576904342.

The spelling of 96675840 in words is "ninety-six million, six hundred seventy-five thousand, eight hundred forty".