87506400 has 216 divisors, whose sum is σ = 303589944. Its totient is φ = 21888000.

The previous prime is 87506383. The next prime is 87506401. The reversal of 87506400 is 460578.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87506401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866350 + ... + 866450.

It is an arithmetic number, because the mean of its divisors is an integer number (1405509).

Almost surely, 2^87506400 is an apocalyptic number.

87506400 is a gapful number since it is divisible by the number (80) 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 87506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151794972).

87506400 is an abundant number, since it is smaller than the sum of its proper divisors (216083544).

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

87506400 is a wasteful number, since it uses less digits than its factorization.

87506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 87506400 is about 9354.4855550693. The cubic root of 87506400 is about 443.9628245800.

Adding to 87506400 its reverse (460578), we get a palindrome (87966978).

The spelling of 87506400 in words is "eighty-seven million, five hundred six thousand, four hundred".