48591576 has 160 divisors (see below), whose sum is σ = 157600080. Its totient is φ = 13824000.

The previous prime is 48591551. The next prime is 48591577. The reversal of 48591576 is 67519584.

48591576 is a `hidden beast` number, since 4 + 8 + 591 + 57 + 6 = 666.

It is a super-2 number, since 2×48591576² = 4722282516327552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48591577) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120976 + ... + 121376.

Almost surely, 2^48591576 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 48591576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78800040).

48591576 is an abundant number, since it is smaller than the sum of its proper divisors (109008504).

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

48591576 is a wasteful number, since it uses less digits than its factorization.

48591576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 48591576 is about 6970.7658115877. The cubic root of 48591576 is about 364.9110335491.

The spelling of 48591576 in words is "forty-eight million, five hundred ninety-one thousand, five hundred seventy-six".