84574000 has 120 divisors (see below), whose sum is σ = 238163328. Its totient is φ = 28963200.

The previous prime is 84573953. The next prime is 84574001. The reversal of 84574000 is 47548.

It is a super-2 number, since 2×84574000² = 14305522952000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 84574000.

It is not an unprimeable number, because it can be changed into a prime (84574001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97569 + ... + 98431.

Almost surely, 2^84574000 is an apocalyptic number.

84574000 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 84574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119081664).

84574000 is an abundant number, since it is smaller than the sum of its proper divisors (153589328).

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

84574000 is a wasteful number, since it uses less digits than its factorization.

84574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 84574000 is about 9196.4123439524. The cubic root of 84574000 is about 438.9472074996.

The spelling of 84574000 in words is "eighty-four million, five hundred seventy-four thousand".