83528640 has 336 divisors, whose sum is σ = 326184768. Its totient is φ = 19464192.

The previous prime is 83528639. The next prime is 83528651. The reversal of 83528640 is 4682538.

83528640 is a `hidden beast` number, since 8 + 3 + 5 + 2 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83528595 and 83528604.

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 47 ways as a sum of consecutive naturals, for example, 861072 + ... + 861168.

It is an arithmetic number, because the mean of its divisors is an integer number (970788).

Almost surely, 2^83528640 is an apocalyptic number.

83528640 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 83528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163092384).

83528640 is an abundant number, since it is smaller than the sum of its proper divisors (242656128).

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

83528640 is a wasteful number, since it uses less digits than its factorization.

83528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83528640 is about 9139.4004179705. The cubic root of 83528640 is about 437.1311983123.

The spelling of 83528640 in words is "eighty-three million, five hundred twenty-eight thousand, six hundred forty".