96810840 has 192 divisors, whose sum is σ = 368746560. Its totient is φ = 21565440.

The previous prime is 96810821. The next prime is 96810851. The reversal of 96810840 is 4801869.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 96810795 and 96810804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102852 + ... + 103788.

It is an arithmetic number, because the mean of its divisors is an integer number (1920555).

Almost surely, 2^96810840 is an apocalyptic number.

96810840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96810840 is the 4920-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96810840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184373280).

96810840 is an abundant number, since it is smaller than the sum of its proper divisors (271935720).

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

96810840 is a wasteful number, since it uses less digits than its factorization.

96810840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 96810840 is about 9839.2499714155. The cubic root of 96810840 is about 459.1712235161.

The spelling of 96810840 in words is "ninety-six million, eight hundred ten thousand, eight hundred forty".