96742656 has 108 divisors (see below), whose sum is σ = 281663200. Its totient is φ = 31933440.

The previous prime is 96742643. The next prime is 96742663. The reversal of 96742656 is 65624769.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (544320) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458391 + ... + 458601.

Almost surely, 2^96742656 is an apocalyptic number.

96742656 is a gapful number since it is divisible by the number (96) 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 96742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140831600).

96742656 is an abundant number, since it is smaller than the sum of its proper divisors (184920544).

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

96742656 is a wasteful number, since it uses less digits than its factorization.

96742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 96742656 is about 9835.7844628682. The cubic root of 96742656 is about 459.0633999029.

The spelling of 96742656 in words is "ninety-six million, seven hundred forty-two thousand, six hundred fifty-six".