87281600 has 84 divisors (see below), whose sum is σ = 245479824. Its totient is φ = 29921280.

The previous prime is 87281581. The next prime is 87281603. The reversal of 87281600 is 618278.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87281603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7304 + ... + 15096.

Almost surely, 2^87281600 is an apocalyptic number.

87281600 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 87281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122739912).

87281600 is an abundant number, since it is smaller than the sum of its proper divisors (158198224).

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

87281600 is a wasteful number, since it uses less digits than its factorization.

87281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7822 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 87281600 is about 9342.4622022249. The cubic root of 87281600 is about 443.5823250655.

Adding to 87281600 its reverse (618278), we get a palindrome (87899878).

The spelling of 87281600 in words is "eighty-seven million, two hundred eighty-one thousand, six hundred".