96679440 has 320 divisors, whose sum is σ = 392474880. Its totient is φ = 21565440.

The previous prime is 96679439. The next prime is 96679447. The reversal of 96679440 is 4497669.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96679447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308724 + ... + 309036.

It is an arithmetic number, because the mean of its divisors is an integer number (1226484).

Almost surely, 2^96679440 is an apocalyptic number.

96679440 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 96679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196237440).

96679440 is an abundant number, since it is smaller than the sum of its proper divisors (295795440).

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

96679440 is a wasteful number, since it uses less digits than its factorization.

96679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96679440 is about 9832.5703658809. The cubic root of 96679440 is about 458.9633872287.

The spelling of 96679440 in words is "ninety-six million, six hundred seventy-nine thousand, four hundred forty".