96873920 has 224 divisors, whose sum is σ = 284195520. Its totient is φ = 30965760.

The previous prime is 96873901. The next prime is 96873923. The reversal of 96873920 is 2937869.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96873923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327004 + ... + 1327076.

It is an arithmetic number, because the mean of its divisors is an integer number (1268730).

Almost surely, 2^96873920 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 96873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142097760).

96873920 is an abundant number, since it is smaller than the sum of its proper divisors (187321600).

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

96873920 is a wasteful number, since it uses less digits than its factorization.

96873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 96873920 is about 9842.4549783070. The cubic root of 96873920 is about 459.2709307808.

The spelling of 96873920 in words is "ninety-six million, eight hundred seventy-three thousand, nine hundred twenty".