96771600 has 90 divisors (see below), whose sum is σ = 335836826. Its totient is φ = 25804800.

The previous prime is 96771593. The next prime is 96771641. The reversal of 96771600 is 617769.

It can be written as a sum of positive squares in 3 ways, for example, as 14470416 + 82301184 = 3804^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

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 17 ways as a sum of consecutive naturals, for example, 9841 + ... + 17040.

Almost surely, 2^96771600 is an apocalyptic number.

96771600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96771600 is an abundant number, since it is smaller than the sum of its proper divisors (239065226).

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

96771600 is a wasteful number, since it uses less digits than its factorization.

96771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26905 (or 26891 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 96771600 is about 9837.2557148831. The cubic root of 96771600 is about 459.1091770423.

The spelling of 96771600 in words is "ninety-six million, seven hundred seventy-one thousand, six hundred".