84094400 has 126 divisors (see below), whose sum is σ = 224786952. Its totient is φ = 30950400.

The previous prime is 84094397. The next prime is 84094429. The reversal of 84094400 is 449048.

It is a happy number.

It is a super-2 number, since 2×84094400² = 14143736222720000, which contains 22 as substring.

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, 270245 + ... + 270555.

Almost surely, 2^84094400 is an apocalyptic number.

84094400 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 84094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112393476).

84094400 is an abundant number, since it is smaller than the sum of its proper divisors (140692552).

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

84094400 is a wasteful number, since it uses less digits than its factorization.

84094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 84094400 is about 9170.2998860452. The cubic root of 84094400 is about 438.1159107477.

The spelling of 84094400 in words is "eighty-four million, ninety-four thousand, four hundred".