84900144 has 60 divisors (see below), whose sum is σ = 255140664. Its totient is φ = 24256512.

The previous prime is 84900131. The next prime is 84900157. The reversal of 84900144 is 44100948.

It is an interprime number because it is at equal distance from previous prime (84900131) and next prime (84900157).

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 11 ways as a sum of consecutive naturals, for example, 15697 + ... + 20400.

Almost surely, 2^84900144 is an apocalyptic number.

84900144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84900144 is an abundant number, since it is smaller than the sum of its proper divisors (170240520).

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

84900144 is a wasteful number, since it uses less digits than its factorization.

84900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36122 (or 36109 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 84900144 is about 9214.1274139226. The cubic root of 84900144 is about 439.5107233474.

The spelling of 84900144 in words is "eighty-four million, nine hundred thousand, one hundred forty-four".