95554080 has 240 divisors, whose sum is σ = 345230424. Its totient is φ = 24883200.

The previous prime is 95554037. The next prime is 95554117. The reversal of 95554080 is 8045559.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 93779856 + 1774224 = 9684^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 946030 + ... + 946130.

Almost surely, 2^95554080 is an apocalyptic number.

95554080 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 95554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172615212).

95554080 is an abundant number, since it is smaller than the sum of its proper divisors (249676344).

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

95554080 is a wasteful number, since it uses less digits than its factorization.

95554080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 95554080 is about 9775.1767247452. The cubic root of 95554080 is about 457.1756367864.

The spelling of 95554080 in words is "ninety-five million, five hundred fifty-four thousand, eighty".