95578560 has 336 divisors, whose sum is σ = 410821632. Its totient is φ = 19814400.

The previous prime is 95578543. The next prime is 95578597. The reversal of 95578560 is 6587559.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×95578560² = 18270522263347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221545 + ... + 221975.

Almost surely, 2^95578560 is an apocalyptic number.

95578560 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 95578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

95578560 is an abundant number, since it is smaller than the sum of its proper divisors (315243072).

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

95578560 is a wasteful number, since it uses less digits than its factorization.

95578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 95578560 is about 9776.4287958334. The cubic root of 95578560 is about 457.2146747287.

The spelling of 95578560 in words is "ninety-five million, five hundred seventy-eight thousand, five hundred sixty".