87405400 has 48 divisors (see below), whose sum is σ = 205277040. Its totient is φ = 34608000.

The previous prime is 87405397. The next prime is 87405401. The reversal of 87405400 is 450478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87405401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18037 + ... + 22363.

It is an arithmetic number, because the mean of its divisors is an integer number (4276605).

Almost surely, 2^87405400 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 87405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102638520).

87405400 is an abundant number, since it is smaller than the sum of its proper divisors (117871640).

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

87405400 is a wasteful number, since it uses less digits than its factorization.

87405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 87405400 is about 9349.0855167765. The cubic root of 87405400 is about 443.7919513337.

Adding to 87405400 its reverse (450478), we get a palindrome (87855878).

The spelling of 87405400 in words is "eighty-seven million, four hundred five thousand, four hundred".