87431400 has 288 divisors, whose sum is σ = 349352640. Its totient is φ = 19906560.

The previous prime is 87431381. The next prime is 87431401. The reversal of 87431400 is 413478.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (87431401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340072 + ... + 340328.

It is an arithmetic number, because the mean of its divisors is an integer number (1213030).

Almost surely, 2^87431400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174676320).

87431400 is an abundant number, since it is smaller than the sum of its proper divisors (261921240).

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

87431400 is a wasteful number, since it uses less digits than its factorization.

87431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

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

The square root of 87431400 is about 9350.4759237164. The cubic root of 87431400 is about 443.8359510821.

Adding to 87431400 its reverse (413478), we get a palindrome (87844878).

The spelling of 87431400 in words is "eighty-seven million, four hundred thirty-one thousand, four hundred".