87746112 has 224 divisors, whose sum is σ = 285292800. Its totient is φ = 26320896.

The previous prime is 87746093. The next prime is 87746117. The reversal of 87746112 is 21164778.

It is a super-2 number, since 2×87746112² = 15398760342233088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87746117) 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, 851853 + ... + 851955.

Almost surely, 2^87746112 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 87746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

87746112 is an abundant number, since it is smaller than the sum of its proper divisors (197546688).

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

87746112 is a wasteful number, since it uses less digits than its factorization.

87746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 87746112 is about 9367.2894692115. The cubic root of 87746112 is about 444.3678470960.

The spelling of 87746112 in words is "eighty-seven million, seven hundred forty-six thousand, one hundred twelve".