1032678540 has 144 divisors (see below), whose sum is σ = 3239492256. Its totient is φ = 266112000.

The previous prime is 1032678539. The next prime is 1032678589. The reversal of 1032678540 is 458762301.

1032678540 is a `hidden beast` number, since 10 + 32 + 6 + 78 + 540 = 666.

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 = 1032678495 and 1032678504.

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, 781080 + ... + 782400.

It is an arithmetic number, because the mean of its divisors is an integer number (22496474).

Almost surely, 2^1032678540 is an apocalyptic number.

1032678540 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 1032678540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619746128).

1032678540 is an abundant number, since it is smaller than the sum of its proper divisors (2206813716).

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

1032678540 is a wasteful number, since it uses less digits than its factorization.

1032678540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1032678540 is about 32135.3160868226. The cubic root of 1032678540 is about 1010.7763008606.

The spelling of 1032678540 in words is "one billion, thirty-two million, six hundred seventy-eight thousand, five hundred forty".