83456640 has 96 divisors (see below), whose sum is σ = 288206100. Its totient is φ = 22253568.

The previous prime is 83456617. The next prime is 83456641. The reversal of 83456640 is 4665438.

83456640 is a `hidden beast` number, since 8 + 3 + 4 + 5 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 5875776 = 8808^2 + 2424^2 .

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

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 83456595 and 83456604.

It is not an unprimeable number, because it can be changed into a prime (83456641) 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, 1485 + ... + 13004.

Almost surely, 2^83456640 is an apocalyptic number.

83456640 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 83456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144103050).

83456640 is an abundant number, since it is smaller than the sum of its proper divisors (204749460).

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

83456640 is a wasteful number, since it uses less digits than its factorization.

83456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14514 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 83456640 is about 9135.4605795220. The cubic root of 83456640 is about 437.0055627867.

The spelling of 83456640 in words is "eighty-three million, four hundred fifty-six thousand, six hundred forty".