95280 has 40 divisors (see below), whose sum is σ = 296112. Its totient is φ = 25344.

The previous prime is 95279. The next prime is 95287. The reversal of 95280 is 8259.

95280 = T₃ + T₄ + ... + T₈₂.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 95280.

It is not an unprimeable number, because it can be changed into a prime (95287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 438.

2⁹⁵²⁸⁰ 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 95280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148056).

95280 is an abundant number, since it is smaller than the sum of its proper divisors (200832).

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

95280 is a wasteful number, since it uses less digits than its factorization.

95280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 95280 is about 308.6745859315. The cubic root of 95280 is about 45.6738109009.

The spelling of 95280 in words is "ninety-five thousand, two hundred eighty".