87206400 has 180 divisors, whose sum is σ = 312499902. Its totient is φ = 23224320.

The previous prime is 87206381. The next prime is 87206411. The reversal of 87206400 is 460278.

It can be written as a sum of positive squares in 3 ways, for example, as 68956416 + 18249984 = 8304^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114822 + ... + 115578.

Almost surely, 2^87206400 is an apocalyptic number.

87206400 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 87206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156249951).

87206400 is an abundant number, since it is smaller than the sum of its proper divisors (225293502).

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

87206400 is a wasteful number, since it uses less digits than its factorization.

87206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87206400 is about 9338.4367000050. The cubic root of 87206400 is about 443.4548947119.

Adding to 87206400 its reverse (460278), we get a palindrome (87666678).

The spelling of 87206400 in words is "eighty-seven million, two hundred six thousand, four hundred".