84645120 has 288 divisors, whose sum is σ = 320237568. Its totient is φ = 18653184.

The previous prime is 84645109. The next prime is 84645131. The reversal of 84645120 is 2154648.

It is an interprime number because it is at equal distance from previous prime (84645109) and next prime (84645131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263327 + ... + 1263393.

It is an arithmetic number, because the mean of its divisors is an integer number (1111936).

Almost surely, 2^84645120 is an apocalyptic number.

84645120 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 84645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160118784).

84645120 is an abundant number, since it is smaller than the sum of its proper divisors (235592448).

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

84645120 is a wasteful number, since it uses less digits than its factorization.

84645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 84645120 is about 9200.2782566616. The cubic root of 84645120 is about 439.0702129106.

Adding to 84645120 its reverse (2154648), we get a palindrome (86799768).

The spelling of 84645120 in words is "eighty-four million, six hundred forty-five thousand, one hundred twenty".