1008680540 has 24 divisors (see below), whose sum is σ = 2420833632. Its totient is φ = 345833280.

The previous prime is 1008680527. The next prime is 1008680549. The reversal of 1008680540 is 450868001.

1008680540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1008680497 and 1008680506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008680549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3602291 + ... + 3602570.

It is an arithmetic number, because the mean of its divisors is an integer number (100868068).

Almost surely, 2^1008680540 is an apocalyptic number.

1008680540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008680540 is an abundant number, since it is smaller than the sum of its proper divisors (1412153092).

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

1008680540 is a wasteful number, since it uses less digits than its factorization.

1008680540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204877 (or 7204875 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1008680540 is about 31759.7314220382. The cubic root of 1008680540 is about 1002.8851810579.

The spelling of 1008680540 in words is "one billion, eight million, six hundred eighty thousand, five hundred forty".