87822504 has 288 divisors, whose sum is σ = 315843840. Its totient is φ = 21772800.

The previous prime is 87822463. The next prime is 87822509. The reversal of 87822504 is 40522878.

It is a happy number.

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 (87822509) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1203012 + ... + 1203084.

It is an arithmetic number, because the mean of its divisors is an integer number (1096680).

Almost surely, 2^87822504 is an apocalyptic number.

87822504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87822504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157921920).

87822504 is an abundant number, since it is smaller than the sum of its proper divisors (228021336).

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

87822504 is a wasteful number, since it uses less digits than its factorization.

87822504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 87822504 is about 9371.3661757505. The cubic root of 87822504 is about 444.4967656367.

The spelling of 87822504 in words is "eighty-seven million, eight hundred twenty-two thousand, five hundred four".