83744640 has 384 divisors, whose sum is σ = 346245120. Its totient is φ = 18247680.

The previous prime is 83744623. The next prime is 83744641. The reversal of 83744640 is 4644738.

83744640 is a `hidden beast` number, since 8 + 3 + 7 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 83744595 and 83744604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83744641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249887 + ... + 1249953.

It is an arithmetic number, because the mean of its divisors is an integer number (901680).

Almost surely, 2^83744640 is an apocalyptic number.

83744640 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 83744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173122560).

83744640 is an abundant number, since it is smaller than the sum of its proper divisors (262500480).

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

83744640 is a wasteful number, since it uses less digits than its factorization.

83744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 83744640 is about 9151.2097560924. The cubic root of 83744640 is about 437.5076722464.

The spelling of 83744640 in words is "eighty-three million, seven hundred forty-four thousand, six hundred forty".