96766020 has 108 divisors (see below), whose sum is σ = 317939076. Its totient is φ = 23811840.

The previous prime is 96766013. The next prime is 96766049. The reversal of 96766020 is 2066769.

It can be written as a sum of positive squares in 6 ways, for example, as 41679936 + 55086084 = 6456^2 + 7422^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28830 + ... + 32010.

Almost surely, 2^96766020 is an apocalyptic number.

96766020 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 96766020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158969538).

96766020 is an abundant number, since it is smaller than the sum of its proper divisors (221173056).

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

96766020 is a wasteful number, since it uses less digits than its factorization.

96766020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 96766020 is about 9836.9720951114. The cubic root of 96766020 is about 459.1003525579.

The spelling of 96766020 in words is "ninety-six million, seven hundred sixty-six thousand, twenty".