84623760 has 120 divisors (see below), whose sum is σ = 306089784. Its totient is φ = 20828160.

The previous prime is 84623753. The next prime is 84623767. The reversal of 84623760 is 6732648.

It is an interprime number because it is at equal distance from previous prime (84623753) and next prime (84623767).

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 66781584 = 4224^2 + 8172^2 .

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

It is a super-2 number, since 2×84623760² = 14322361513075200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84623767) 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, 4840 + ... + 13880.

Almost surely, 2^84623760 is an apocalyptic number.

84623760 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 84623760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153044892).

84623760 is an abundant number, since it is smaller than the sum of its proper divisors (221466024).

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

84623760 is a wasteful number, since it uses less digits than its factorization.

84623760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073 (or 9064 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 84623760 is about 9199.1173489634. The cubic root of 84623760 is about 439.0332770198.

The spelling of 84623760 in words is "eighty-four million, six hundred twenty-three thousand, seven hundred sixty".