84450744 has 96 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 22856256.

The previous prime is 84450739. The next prime is 84450749. The reversal of 84450744 is 44705448.

It is an interprime number because it is at equal distance from previous prime (84450739) and next prime (84450749).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84450699 and 84450708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84450749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5167 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^84450744 is an apocalyptic number.

84450744 is a gapful number since it is divisible by the number (84) 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 84450744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

84450744 is an abundant number, since it is smaller than the sum of its proper divisors (190733256).

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

84450744 is a wasteful number, since it uses less digits than its factorization.

84450744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 84450744 is about 9189.7085916802. The cubic root of 84450744 is about 438.7338669890.

The spelling of 84450744 in words is "eighty-four million, four hundred fifty thousand, seven hundred forty-four".