84681040 has 40 divisors (see below), whose sum is σ = 197306568. Its totient is φ = 33799680.

The previous prime is 84681019. The next prime is 84681053. The reversal of 84681040 is 4018648.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 76177984 = 2916^2 + 8728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84680993 and 84681011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51430 + ... + 53050.

Almost surely, 2^84681040 is an apocalyptic number.

84681040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84681040 is an abundant number, since it is smaller than the sum of its proper divisors (112625528).

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

84681040 is a wasteful number, since it uses less digits than its factorization.

84681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 84681040 is about 9202.2301644764. The cubic root of 84681040 is about 439.1323120671.

Adding to 84681040 its reverse (4018648), we get a palindrome (88699688).

It can be divided in two parts, 846810 and 40, that multiplied together give a square (33872400 = 5820²).

The spelling of 84681040 in words is "eighty-four million, six hundred eighty-one thousand, forty".