96647760 has 120 divisors (see below), whose sum is σ = 354111264. Its totient is φ = 23427840.

The previous prime is 96647717. The next prime is 96647767. The reversal of 96647760 is 6774669.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96647767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819 + ... + 14021.

Almost surely, 2^96647760 is an apocalyptic number.

96647760 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 96647760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177055632).

96647760 is an abundant number, since it is smaller than the sum of its proper divisors (257463504).

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

96647760 is a wasteful number, since it uses less digits than its factorization.

96647760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233 (or 12224 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 96647760 is about 9830.9592614353. The cubic root of 96647760 is about 458.9132505828.

It can be divided in two parts, 9664 and 7760, that added together give a square (17424 = 132²).

The spelling of 96647760 in words is "ninety-six million, six hundred forty-seven thousand, seven hundred sixty".