96007950 has 144 divisors (see below), whose sum is σ = 280629360. Its totient is φ = 24131520.

The previous prime is 96007909. The next prime is 96007987. The reversal of 96007950 is 5970069.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487252 + ... + 487448.

It is an arithmetic number, because the mean of its divisors is an integer number (1948815).

Almost surely, 2^96007950 is an apocalyptic number.

96007950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96007950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140314680).

96007950 is an abundant number, since it is smaller than the sum of its proper divisors (184621410).

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

96007950 is a wasteful number, since it uses less digits than its factorization.

96007950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 96007950 is about 9798.3646594725. The cubic root of 96007950 is about 457.8983362255.

The spelling of 96007950 in words is "ninety-six million, seven thousand, nine hundred fifty".