96992000 has 144 divisors (see below), whose sum is σ = 276773952. Its totient is φ = 33177600.

The previous prime is 96991991. The next prime is 96992011. The reversal of 96992000 is 29969.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223784 + ... + 224216.

Almost surely, 2^96992000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138386976).

96992000 is an abundant number, since it is smaller than the sum of its proper divisors (179781952).

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

96992000 is an equidigital number, since it uses as much as digits as its factorization.

96992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 96992000 is about 9848.4516549557. The cubic root of 96992000 is about 459.4574573933.

The spelling of 96992000 in words is "ninety-six million, nine hundred ninety-two thousand".