84080640 has 384 divisors, whose sum is σ = 339655680. Its totient is φ = 17301504.

The previous prime is 84080639. The next prime is 84080641. The reversal of 84080640 is 4608048.

It is an interprime number because it is at equal distance from previous prime (84080639) and next prime (84080641).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 84080598 and 84080607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84080641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655669 + ... + 3655691.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^84080640 is an apocalyptic number.

84080640 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 84080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

84080640 is an abundant number, since it is smaller than the sum of its proper divisors (255575040).

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

84080640 is a wasteful number, since it uses less digits than its factorization.

84080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84080640 is about 9169.5496072599. The cubic root of 84080640 is about 438.0920137789.

Adding to 84080640 its reverse (4608048), we get a palindrome (88688688).

The spelling of 84080640 in words is "eighty-four million, eighty thousand, six hundred forty".