96007284 has 36 divisors (see below), whose sum is σ = 251056260. Its totient is φ = 30898560.

The previous prime is 96007277. The next prime is 96007291. The reversal of 96007284 is 48270069.

It is an interprime number because it is at equal distance from previous prime (96007277) and next prime (96007291).

It can be written as a sum of positive squares in 2 ways, for example, as 40832100 + 55175184 = 6390^2 + 7428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 44937 + ... + 47024.

It is an arithmetic number, because the mean of its divisors is an integer number (6973785).

Almost surely, 2^96007284 is an apocalyptic number.

It is an amenable number.

96007284 is an abundant number, since it is smaller than the sum of its proper divisors (155048976).

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

96007284 is a wasteful number, since it uses less digits than its factorization.

96007284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92000 (or 91995 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 96007284 is about 9798.3306741506. The cubic root of 96007284 is about 457.8972774209.

The spelling of 96007284 in words is "ninety-six million, seven thousand, two hundred eighty-four".