84260400 has 180 divisors, whose sum is σ = 314200872. Its totient is φ = 19246080.

The previous prime is 84260377. The next prime is 84260401. The reversal of 84260400 is 406248.

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

It is not an unprimeable number, because it can be changed into a prime (84260401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58084 + ... + 59516.

Almost surely, 2^84260400 is an apocalyptic number.

84260400 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 84260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157100436).

84260400 is an abundant number, since it is smaller than the sum of its proper divisors (229940472).

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

84260400 is a wasteful number, since it uses less digits than its factorization.

84260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 84260400 is about 9179.3463819599. The cubic root of 84260400 is about 438.4039974683.

Adding to 84260400 its reverse (406248), we get a palindrome (84666648).

The spelling of 84260400 in words is "eighty-four million, two hundred sixty thousand, four hundred".