83552040 has 256 divisors, whose sum is σ = 327801600. Its totient is φ = 18662400.

The previous prime is 83552039. The next prime is 83552047. The reversal of 83552040 is 4025538.

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 = 83551995 and 83552013.

It is not an unprimeable number, because it can be changed into a prime (83552047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154170 + ... + 154710.

It is an arithmetic number, because the mean of its divisors is an integer number (1280475).

Almost surely, 2^83552040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900800).

83552040 is an abundant number, since it is smaller than the sum of its proper divisors (244249560).

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

83552040 is a wasteful number, since it uses less digits than its factorization.

83552040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

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

The square root of 83552040 is about 9140.6804998315. The cubic root of 83552040 is about 437.1720143127.

Adding to 83552040 its reverse (4025538), we get a palindrome (87577578).

The spelling of 83552040 in words is "eighty-three million, five hundred fifty-two thousand, forty".