95982480 has 120 divisors (see below), whose sum is σ = 351673920. Its totient is φ = 23266560.

The previous prime is 95982461. The next prime is 95982487. The reversal of 95982480 is 8428959.

95982480 is a `hidden beast` number, since 95 + 9 + 82 + 480 = 666.

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 not an unprimeable number, because it can be changed into a prime (95982487) 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, 1861 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (2930616).

Almost surely, 2^95982480 is an apocalyptic number.

95982480 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 95982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175836960).

95982480 is an abundant number, since it is smaller than the sum of its proper divisors (255691440).

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

95982480 is a wasteful number, since it uses less digits than its factorization.

95982480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 95982480 is about 9797.0648665812. The cubic root of 95982480 is about 457.8578406134.

The spelling of 95982480 in words is "ninety-five million, nine hundred eighty-two thousand, four hundred eighty".