1098800640 has 400 divisors, whose sum is σ = 4503720672. Its totient is φ = 250822656.

The previous prime is 1098800567. The next prime is 1098800663. The reversal of 1098800640 is 460088901.

It is a happy number.

1098800640 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 8 + 0 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1098800595 and 1098800604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451142 + ... + 1451898.

Almost surely, 2^1098800640 is an apocalyptic number.

1098800640 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 1098800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251860336).

1098800640 is an abundant number, since it is smaller than the sum of its proper divisors (3404920032).

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

1098800640 is an frugal number, since it uses more digits than its factorization.

1098800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1098800640 is about 33148.1619399930. The cubic root of 1098800640 is about 1031.9048046318.

The spelling of 1098800640 in words is "one billion, ninety-eight million, eight hundred thousand, six hundred forty".