1082672640 has 480 divisors, whose sum is σ = 4404628800. Its totient is φ = 245661696.

The previous prime is 1082672623. The next prime is 1082672663. The reversal of 1082672640 is 462762801.

1082672640 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1082672595 and 1082672604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7902652 + ... + 7902788.

It is an arithmetic number, because the mean of its divisors is an integer number (9176310).

Almost surely, 2^1082672640 is an apocalyptic number.

1082672640 is a gapful number since it is divisible by the number (10) 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 1082672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202314400).

1082672640 is an abundant number, since it is smaller than the sum of its proper divisors (3321956160).

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

1082672640 is an equidigital number, since it uses as much as digits as its factorization.

1082672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1082672640 is about 32903.9912472636. The cubic root of 1082672640 is about 1026.8311949361.

The spelling of 1082672640 in words is "one billion, eighty-two million, six hundred seventy-two thousand, six hundred forty".