48087864 has 128 divisors (see below), whose sum is σ = 149932800. Its totient is φ = 14152320.

The previous prime is 48087863. The next prime is 48087881. The reversal of 48087864 is 46878084.

It is a super-3 number, since 3×48087864³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48087863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87639 + ... + 88185.

It is an arithmetic number, because the mean of its divisors is an integer number (1171350).

Almost surely, 2^48087864 is an apocalyptic number.

48087864 is a gapful number since it is divisible by the number (44) 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 48087864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74966400).

48087864 is an abundant number, since it is smaller than the sum of its proper divisors (101844936).

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

48087864 is a wasteful number, since it uses less digits than its factorization.

48087864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 48087864 is about 6934.5413691174. The cubic root of 48087864 is about 363.6457326828.

The spelling of 48087864 in words is "forty-eight million, eighty-seven thousand, eight hundred sixty-four".