96767160 has 128 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 22108800.

The previous prime is 96767147. The next prime is 96767183. The reversal of 96767160 is 6176769.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39985 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^96767160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96767160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

96767160 is an abundant number, since it is smaller than the sum of its proper divisors (241920840).

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

96767160 is a wasteful number, since it uses less digits than its factorization.

96767160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 96767160 is about 9837.0300396004. The cubic root of 96767160 is about 459.1021554371.

It can be divided in two parts, 9676 and 7160, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 96767160 in words is "ninety-six million, seven hundred sixty-seven thousand, one hundred sixty".