96734880 has 288 divisors, whose sum is σ = 373621248. Its totient is φ = 22579200.

The previous prime is 96734861. The next prime is 96734921. The reversal of 96734880 is 8843769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×96734880² = 18715274017228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490942 + ... + 491138.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^96734880 is an apocalyptic number.

96734880 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 96734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

96734880 is an abundant number, since it is smaller than the sum of its proper divisors (276886368).

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

96734880 is a wasteful number, since it uses less digits than its factorization.

96734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 96734880 is about 9835.3891636274. The cubic root of 96734880 is about 459.0511000110.

The spelling of 96734880 in words is "ninety-six million, seven hundred thirty-four thousand, eight hundred eighty".