96677760 has 128 divisors (see below), whose sum is σ = 315596160. Its totient is φ = 25159680.

The previous prime is 96677743. The next prime is 96677761. The reversal of 96677760 is 6777669.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96677761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81975 + ... + 83145.

It is an arithmetic number, because the mean of its divisors is an integer number (2465595).

Almost surely, 2^96677760 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 96677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157798080).

96677760 is an abundant number, since it is smaller than the sum of its proper divisors (218918400).

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

96677760 is a wasteful number, since it uses less digits than its factorization.

96677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The square root of 96677760 is about 9832.4849351525. The cubic root of 96677760 is about 458.9607287422.

The spelling of 96677760 in words is "ninety-six million, six hundred seventy-seven thousand, seven hundred sixty".