83255040 has 360 divisors, whose sum is σ = 329435568. Its totient is φ = 19906560.

The previous prime is 83254991. The next prime is 83255063. The reversal of 83255040 is 4055238.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 83254995 and 83255013.

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 39 ways as a sum of consecutive naturals, for example, 1140444 + ... + 1140516.

Almost surely, 2^83255040 is an apocalyptic number.

83255040 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 83255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164717784).

83255040 is an abundant number, since it is smaller than the sum of its proper divisors (246180528).

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

83255040 is a wasteful number, since it uses less digits than its factorization.

83255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 83255040 is about 9124.4199815660. The cubic root of 83255040 is about 436.6533984534.

The spelling of 83255040 in words is "eighty-three million, two hundred fifty-five thousand, forty".