96947280 has 120 divisors (see below), whose sum is σ = 337707552. Its totient is φ = 25847424.

The previous prime is 96947273. The next prime is 96947281. The reversal of 96947280 is 8274969.

It is a happy number.

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 (96947281) 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, 16947 + ... + 21933.

Almost surely, 2^96947280 is an apocalyptic number.

96947280 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 96947280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168853776).

96947280 is an abundant number, since it is smaller than the sum of its proper divisors (240760272).

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

96947280 is a wasteful number, since it uses less digits than its factorization.

96947280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 96947280 is about 9846.1809855395. The cubic root of 96947280 is about 459.3868326815.

It can be divided in two parts, 96 and 947280, that added together give a triangular number (947376 = T₁₃₇₆).

The spelling of 96947280 in words is "ninety-six million, nine hundred forty-seven thousand, two hundred eighty".