87496892 has 48 divisors (see below), whose sum is σ = 189278208. Its totient is φ = 34533120.

The previous prime is 87496891. The next prime is 87496901. The reversal of 87496892 is 29869478.

It is a super-3 number, since 3×87496892³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87496891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20417 + ... + 24327.

It is an arithmetic number, because the mean of its divisors is an integer number (3943296).

Almost surely, 2^87496892 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 87496892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94639104).

87496892 is an abundant number, since it is smaller than the sum of its proper divisors (101781316).

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

87496892 is a wasteful number, since it uses less digits than its factorization.

87496892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3984 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 53.

The square root of 87496892 is about 9353.9773358716. The cubic root of 87496892 is about 443.9467444174.

It can be divided in two parts, 87496 and 892, that added together give a palindrome (88388).

The spelling of 87496892 in words is "eighty-seven million, four hundred ninety-six thousand, eight hundred ninety-two".