83484120 has 32 divisors (see below), whose sum is σ = 250452720. Its totient is φ = 22262400.

The previous prime is 83484109. The next prime is 83484131. The reversal of 83484120 is 2148438.

It is an interprime number because it is at equal distance from previous prime (83484109) and next prime (83484131).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347731 + ... + 347970.

Almost surely, 2^83484120 is an apocalyptic number.

It is an amenable number.

83484120 is an abundant number, since it is smaller than the sum of its proper divisors (166968600).

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

83484120 is a wasteful number, since it uses less digits than its factorization.

83484120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695715 (or 695711 counting only the distinct ones).

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

The square root of 83484120 is about 9136.9644849917. The cubic root of 83484120 is about 437.0535222022.

The spelling of 83484120 in words is "eighty-three million, four hundred eighty-four thousand, one hundred twenty".