87062400 has 144 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 23208960.

The previous prime is 87062399. The next prime is 87062407. The reversal of 87062400 is 426078.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×87062400² = 15159722987520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87062407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27289 + ... + 30311.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^87062400 is an apocalyptic number.

87062400 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 87062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

87062400 is an abundant number, since it is smaller than the sum of its proper divisors (223698960).

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

87062400 is a wasteful number, since it uses less digits than its factorization.

87062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3033 counting only the distinct ones).

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

The square root of 87062400 is about 9330.7234446210. The cubic root of 87062400 is about 443.2106745421.

Adding to 87062400 its reverse (426078), we get a palindrome (87488478).

The spelling of 87062400 in words is "eighty-seven million, sixty-two thousand, four hundred".