87653412 has 144 divisors (see below), whose sum is σ = 279831552. Its totient is φ = 22472640.

The previous prime is 87653389. The next prime is 87653417. The reversal of 87653412 is 21435678.

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 (87653417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285363 + ... + 285669.

Almost surely, 2^87653412 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 87653412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139915776).

87653412 is an abundant number, since it is smaller than the sum of its proper divisors (192178140).

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

87653412 is a wasteful number, since it uses less digits than its factorization.

87653412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 87653412 is about 9362.3400920924. The cubic root of 87653412 is about 444.2113067730.

The spelling of 87653412 in words is "eighty-seven million, six hundred fifty-three thousand, four hundred twelve".