96936210 has 192 divisors, whose sum is σ = 319127040. Its totient is φ = 20805120.

The previous prime is 96936199. The next prime is 96936221. The reversal of 96936210 is 1263969.

It is an interprime number because it is at equal distance from previous prime (96936199) and next prime (96936221).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224695 + ... + 225125.

It is an arithmetic number, because the mean of its divisors is an integer number (1662120).

Almost surely, 2^96936210 is an apocalyptic number.

96936210 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 96936210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159563520).

96936210 is an abundant number, since it is smaller than the sum of its proper divisors (222190830).

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

96936210 is a wasteful number, since it uses less digits than its factorization.

96936210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 96936210 is about 9845.6188226033. The cubic root of 96936210 is about 459.3693468692.

The spelling of 96936210 in words is "ninety-six million, nine hundred thirty-six thousand, two hundred ten".