87222400 has 96 divisors (see below), whose sum is σ = 218462580. Its totient is φ = 34406400.

The previous prime is 87222397. The next prime is 87222419. The reversal of 87222400 is 422278.

It can be written as a sum of positive squares in 6 ways, for example, as 36869184 + 50353216 = 6072^2 + 7096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310260 + ... + 310540.

Almost surely, 2^87222400 is an apocalyptic number.

87222400 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 87222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109231290).

87222400 is an abundant number, since it is smaller than the sum of its proper divisors (131240180).

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

87222400 is a wasteful number, since it uses less digits than its factorization.

87222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

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

The square root of 87222400 is about 9339.2933351512. The cubic root of 87222400 is about 443.4820136865.

Adding to 87222400 its reverse (422278), we get a palindrome (87644678).

The spelling of 87222400 in words is "eighty-seven million, two hundred twenty-two thousand, four hundred".