84359040 has 128 divisors (see below), whose sum is σ = 274298400. Its totient is φ = 22044672.

The previous prime is 84359027. The next prime is 84359053. The reversal of 84359040 is 4095348.

It is an interprime number because it is at equal distance from previous prime (84359027) and next prime (84359053).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 84358992 and 84359010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101346 + ... + 102174.

Almost surely, 2^84359040 is an apocalyptic number.

84359040 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 84359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137149200).

84359040 is an abundant number, since it is smaller than the sum of its proper divisors (189939360).

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

84359040 is a wasteful number, since it uses less digits than its factorization.

84359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 84359040 is about 9184.7177419886. The cubic root of 84359040 is about 438.5750042781.

The spelling of 84359040 in words is "eighty-four million, three hundred fifty-nine thousand, forty".