84191400 has 120 divisors (see below), whose sum is σ = 292465470. Its totient is φ = 22446720.

The previous prime is 84191383. The next prime is 84191417. The reversal of 84191400 is 419148.

It is an interprime number because it is at equal distance from previous prime (84191383) and next prime (84191417).

It can be written as a sum of positive squares in 3 ways, for example, as 60746436 + 23444964 = 7794^2 + 4842^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13602 + ... + 18798.

Almost surely, 2^84191400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146232735).

84191400 is an abundant number, since it is smaller than the sum of its proper divisors (208274070).

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

84191400 is a wasteful number, since it uses less digits than its factorization.

84191400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 84191400 is about 9175.5871746717. The cubic root of 84191400 is about 438.2842965701.

The spelling of 84191400 in words is "eighty-four million, one hundred ninety-one thousand, four hundred".