84948864 has 384 divisors, whose sum is σ = 322548480. Its totient is φ = 19169280.

The previous prime is 84948839. The next prime is 84948887. The reversal of 84948864 is 46884948.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996984 + ... + 4997000.

It is an arithmetic number, because the mean of its divisors is an integer number (839970).

Almost surely, 2^84948864 is an apocalyptic number.

84948864 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 84948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161274240).

84948864 is an abundant number, since it is smaller than the sum of its proper divisors (237599616).

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

84948864 is a wasteful number, since it uses less digits than its factorization.

84948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 84948864 is about 9216.7708010995. The cubic root of 84948864 is about 439.5947784376.

The spelling of 84948864 in words is "eighty-four million, nine hundred forty-eight thousand, eight hundred sixty-four".