87240400 has 120 divisors (see below), whose sum is σ = 237866720. Its totient is φ = 30481920.

The previous prime is 87240383. The next prime is 87240443. The reversal of 87240400 is 404278.

It is a super-2 number, since 2×87240400² = 15221774784320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 98359 + ... + 99241.

Almost surely, 2^87240400 is an apocalyptic number.

87240400 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 87240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118933360).

87240400 is an abundant number, since it is smaller than the sum of its proper divisors (150626320).

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

87240400 is a wasteful number, since it uses less digits than its factorization.

87240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 87240400 is about 9340.2569557802. The cubic root of 87240400 is about 443.5125185690.

Adding to 87240400 its reverse (404278), we get a palindrome (87644678).

The spelling of 87240400 in words is "eighty-seven million, two hundred forty thousand, four hundred".