87825744 has 60 divisors (see below), whose sum is σ = 249486016. Its totient is φ = 28835136.

The previous prime is 87825743. The next prime is 87825761. The reversal of 87825744 is 44752878.

87825744 is a `hidden beast` number, since 8 + 78 + 2 + 574 + 4 = 666.

It is a super-2 number, since 2×87825744² = 15426722618307072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87825744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87825743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5097 + ... + 14199.

Almost surely, 2^87825744 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 87825744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124743008).

87825744 is an abundant number, since it is smaller than the sum of its proper divisors (161660272).

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

87825744 is a wasteful number, since it uses less digits than its factorization.

87825744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184 (or 9175 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 87825744 is about 9371.5390411607. The cubic root of 87825744 is about 444.5022317824.

The spelling of 87825744 in words is "eighty-seven million, eight hundred twenty-five thousand, seven hundred forty-four".