84126400 has 42 divisors (see below), whose sum is σ = 207007460. Its totient is φ = 33649920.

The previous prime is 84126397. The next prime is 84126403. The reversal of 84126400 is 462148.

It is an interprime number because it is at equal distance from previous prime (84126397) and next prime (84126403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (84126403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24690 + ... + 27889.

Almost surely, 2^84126400 is an apocalyptic number.

84126400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84126400 is an abundant number, since it is smaller than the sum of its proper divisors (122881060).

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

84126400 is a wasteful number, since it uses less digits than its factorization.

84126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52601 (or 52586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 84126400 is about 9172.0444831019. The cubic root of 84126400 is about 438.1714750153.

Adding to 84126400 its reverse (462148), we get a palindrome (84588548).

The spelling of 84126400 in words is "eighty-four million, one hundred twenty-six thousand, four hundred".