84110400 has 420 divisors, whose sum is σ = 342991440. Its totient is φ = 20044800.

The previous prime is 84110387. The next prime is 84110413. The reversal of 84110400 is 401148.

It is an interprime number because it is at equal distance from previous prime (84110387) and next prime (84110413).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425571 + ... + 1425629.

Almost surely, 2^84110400 is an apocalyptic number.

84110400 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 84110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171495720).

84110400 is an abundant number, since it is smaller than the sum of its proper divisors (258881040).

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

84110400 is a wasteful number, since it uses less digits than its factorization.

84110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 84110400 is about 9171.1722260570. The cubic root of 84110400 is about 438.1436946432.

Adding to 84110400 its reverse (401148), we get a palindrome (84511548).

The spelling of 84110400 in words is "eighty-four million, one hundred ten thousand, four hundred".