83214648 has 64 divisors (see below), whose sum is σ = 252172800. Its totient is φ = 25215840.

The previous prime is 83214631. The next prime is 83214653. The reversal of 83214648 is 84641238.

83214648 is a `hidden beast` number, since 8 + 3 + 2 + 1 + 4 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15136 + ... + 19887.

It is an arithmetic number, because the mean of its divisors is an integer number (3940200).

Almost surely, 2^83214648 is an apocalyptic number.

83214648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

83214648 is an abundant number, since it is smaller than the sum of its proper divisors (168958152).

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

83214648 is a wasteful number, since it uses less digits than its factorization.

83214648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35049 (or 35039 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 83214648 is about 9122.2063120717. The cubic root of 83214648 is about 436.5827714694.

The spelling of 83214648 in words is "eighty-three million, two hundred fourteen thousand, six hundred forty-eight".