83726640 has 120 divisors (see below), whose sum is σ = 284163360. Its totient is φ = 22090752.

The previous prime is 83726627. The next prime is 83726659. The reversal of 83726640 is 4662738.

83726640 = T₂₉₃ + T₂₉₄ + ... + T₈₀₇.

83726640 is a `hidden beast` number, since 8 + 3 + 7 + 2 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 83726595 and 83726604.

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 23 ways as a sum of consecutive naturals, for example, 73596 + ... + 74724.

It is an arithmetic number, because the mean of its divisors is an integer number (2368028).

Almost surely, 2^83726640 is an apocalyptic number.

83726640 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 83726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142081680).

83726640 is an abundant number, since it is smaller than the sum of its proper divisors (200436720).

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

83726640 is a wasteful number, since it uses less digits than its factorization.

83726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 83726640 is about 9150.2262267116. The cubic root of 83726640 is about 437.4763241610.

The spelling of 83726640 in words is "eighty-three million, seven hundred twenty-six thousand, six hundred forty".