1078172640 has 384 divisors, whose sum is σ = 4085665920. Its totient is φ = 264536064.

The previous prime is 1078172639. The next prime is 1078172659. The reversal of 1078172640 is 462718701.

1078172640 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 1 + 7 + 2 + 640 = 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 = 1078172595 and 1078172604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3892182 + ... + 3892458.

It is an arithmetic number, because the mean of its divisors is an integer number (10639755).

Almost surely, 2^1078172640 is an apocalyptic number.

1078172640 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 1078172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042832960).

1078172640 is an abundant number, since it is smaller than the sum of its proper divisors (3007493280).

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

1078172640 is a wasteful number, since it uses less digits than its factorization.

1078172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1078172640 is about 32835.5392829172. The cubic root of 1078172640 is about 1025.4065854766.

The spelling of 1078172640 in words is "one billion, seventy-eight million, one hundred seventy-two thousand, six hundred forty".