87452136 has 80 divisors (see below), whose sum is σ = 257875200. Its totient is φ = 27612576.

The previous prime is 87452129. The next prime is 87452137. The reversal of 87452136 is 63125478.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87452136.

It is not an unprimeable number, because it can be changed into a prime (87452137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8761 + ... + 15863.

It is an arithmetic number, because the mean of its divisors is an integer number (3223440).

Almost surely, 2^87452136 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 87452136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128937600).

87452136 is an abundant number, since it is smaller than the sum of its proper divisors (170423064).

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

87452136 is a wasteful number, since it uses less digits than its factorization.

87452136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140 (or 7127 counting only the distinct ones).

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

The square root of 87452136 is about 9351.5846785451. The cubic root of 87452136 is about 443.8710363215.

The spelling of 87452136 in words is "eighty-seven million, four hundred fifty-two thousand, one hundred thirty-six".