87042400 has 36 divisors (see below), whose sum is σ = 212494212. Its totient is φ = 34816640.

The previous prime is 87042391. The next prime is 87042407. The reversal of 87042400 is 424078.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87042407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53602 + ... + 55201.

It is an arithmetic number, because the mean of its divisors is an integer number (5902617).

Almost surely, 2^87042400 is an apocalyptic number.

87042400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87042400 is an abundant number, since it is smaller than the sum of its proper divisors (125451812).

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

87042400 is a wasteful number, since it uses less digits than its factorization.

87042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108823 (or 108810 counting only the distinct ones).

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

The square root of 87042400 is about 9329.6516548047. The cubic root of 87042400 is about 443.1767337810.

Adding to 87042400 its reverse (424078), we get a palindrome (87466478).

The spelling of 87042400 in words is "eighty-seven million, forty-two thousand, four hundred".