83252640 has 96 divisors (see below), whose sum is σ = 273684096. Its totient is φ = 21232640.

The previous prime is 83252633. The next prime is 83252641. The reversal of 83252640 is 4625238.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 83252598 and 83252607.

It is not an unprimeable number, because it can be changed into a prime (83252641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7270 + ... + 14810.

It is an arithmetic number, because the mean of its divisors is an integer number (2850876).

Almost surely, 2^83252640 is an apocalyptic number.

83252640 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 83252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136842048).

83252640 is an abundant number, since it is smaller than the sum of its proper divisors (190431456).

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

83252640 is a wasteful number, since it uses less digits than its factorization.

83252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 83252640 is about 9124.2884654092. The cubic root of 83252640 is about 436.6492025984.

Adding to 83252640 its reverse (4625238), we get a palindrome (87877878).

The spelling of 83252640 in words is "eighty-three million, two hundred fifty-two thousand, six hundred forty".