87113400 has 192 divisors, whose sum is σ = 300516480. Its totient is φ = 20697600.

The previous prime is 87113387. The next prime is 87113407. The reversal of 87113400 is 431178.

87113400 is a nontrivial binomial coefficient, being equal to C(13200, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87113407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442102 + ... + 442298.

It is an arithmetic number, because the mean of its divisors is an integer number (1565190).

Almost surely, 2^87113400 is an apocalyptic number.

87113400 is the 13199-th triangular number and also the 6600-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

87113400 is an abundant number, since it is smaller than the sum of its proper divisors (213403080).

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

87113400 is a wasteful number, since it uses less digits than its factorization.

87113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 87113400 is about 9333.4559515755. The cubic root of 87113400 is about 443.2971999621.

Adding to 87113400 its reverse (431178), we get a palindrome (87544578).

The spelling of 87113400 in words is "eighty-seven million, one hundred thirteen thousand, four hundred".