95546880 has 480 divisors, whose sum is σ = 402161760. Its totient is φ = 20643840.

The previous prime is 95546873. The next prime is 95546881. The reversal of 95546880 is 8864559.

It is a tau number, because it is divible by the number of its divisors (480).

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 (95546881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294706 + ... + 3294734.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 2^95546880 is an apocalyptic number.

95546880 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 95546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

95546880 is an abundant number, since it is smaller than the sum of its proper divisors (306614880).

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

95546880 is a wasteful number, since it uses less digits than its factorization.

95546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 95546880 is about 9774.8084380207. The cubic root of 95546880 is about 457.1641537698.

The spelling of 95546880 in words is "ninety-five million, five hundred forty-six thousand, eight hundred eighty".