83621440 has 84 divisors (see below), whose sum is σ = 231676956. Its totient is φ = 28664832.

The previous prime is 83621431. The next prime is 83621441. The reversal of 83621440 is 4412638.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 18593344 = 8064^2 + 4312^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 83621399 and 83621408.

It is not an unprimeable number, because it can be changed into a prime (83621441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13014 + ... + 18346.

It is an arithmetic number, because the mean of its divisors is an integer number (2758059).

Almost surely, 2^83621440 is an apocalyptic number.

83621440 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 83621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115838478).

83621440 is an abundant number, since it is smaller than the sum of its proper divisors (148055516).

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

83621440 is a wasteful number, since it uses less digits than its factorization.

83621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 83621440 is about 9144.4759281219. The cubic root of 83621440 is about 437.2930220958.

The spelling of 83621440 in words is "eighty-three million, six hundred twenty-one thousand, four hundred forty".