96854940 has 336 divisors, whose sum is σ = 380468928. Its totient is φ = 20155392.

The previous prime is 96854929. The next prime is 96854957. The reversal of 96854940 is 4945869.

It is a happy number.

96854940 is a `hidden beast` number, since 9 + 68 + 549 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1095 × 81 × 1092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1326744 + ... + 1326816.

It is an arithmetic number, because the mean of its divisors is an integer number (1132348).

Almost surely, 2^96854940 is an apocalyptic number.

96854940 is a gapful number since it is divisible by the number (90) 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 96854940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190234464).

96854940 is an abundant number, since it is smaller than the sum of its proper divisors (283613988).

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

96854940 is a wasteful number, since it uses less digits than its factorization.

96854940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 96854940 is about 9841.4907407364. The cubic root of 96854940 is about 459.2409346387.

The spelling of 96854940 in words is "ninety-six million, eight hundred fifty-four thousand, nine hundred forty".