8354400 has 108 divisors (see below), whose sum is σ = 27662292. Its totient is φ = 2190080.

The previous prime is 8354389. The next prime is 8354413. The reversal of 8354400 is 44538.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141571 + ... + 141629.

Almost surely, 2^8354400 is an apocalyptic number.

8354400 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 8354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13831146).

8354400 is an abundant number, since it is smaller than the sum of its proper divisors (19307892).

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

8354400 is a wasteful number, since it uses less digits than its factorization.

8354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 8354400 is about 2890.3978964842. The cubic root of 8354400 is about 202.9107650539.

Multiplying 8354400 by its sum of digits (24), we get a square (200505600 = 14160²).

8354400 divided by its sum of digits (24) gives a square (348100 = 590²).

Adding to 8354400 its reverse (44538), we get a palindrome (8398938).

The spelling of 8354400 in words is "eight million, three hundred fifty-four thousand, four hundred".