84446880 has 192 divisors, whose sum is σ = 311931648. Its totient is φ = 18800640.

The previous prime is 84446851. The next prime is 84446881. The reversal of 84446880 is 8864448.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (84446881) 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, 137454 + ... + 138066.

It is an arithmetic number, because the mean of its divisors is an integer number (1624644).

Almost surely, 2^84446880 is an apocalyptic number.

84446880 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 84446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155965824).

84446880 is an abundant number, since it is smaller than the sum of its proper divisors (227484768).

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

84446880 is a wasteful number, since it uses less digits than its factorization.

84446880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 84446880 is about 9189.4983540996. The cubic root of 84446880 is about 438.7271755401.

The spelling of 84446880 in words is "eighty-four million, four hundred forty-six thousand, eight hundred eighty".