87361600 has 42 divisors (see below), whose sum is σ = 214968074. Its totient is φ = 34944000.

The previous prime is 87361591. The next prime is 87361619. The reversal of 87361600 is 616378.

It can be written as a sum of positive squares in 3 ways, for example, as 200704 + 87160896 = 448^2 + 9336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25701 + ... + 28900.

Almost surely, 2^87361600 is an apocalyptic number.

87361600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87361600 is an abundant number, since it is smaller than the sum of its proper divisors (127606474).

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

87361600 is a wasteful number, since it uses less digits than its factorization.

87361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54623 (or 54608 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 87361600 is about 9346.7427481449. The cubic root of 87361600 is about 443.7178089456.

Adding to 87361600 its reverse (616378), we get a palindrome (87977978).

The spelling of 87361600 in words is "eighty-seven million, three hundred sixty-one thousand, six hundred".