1198415540 has 72 divisors (see below), whose sum is σ = 2946583080. Its totient is φ = 408215808.

The previous prime is 1198415531. The next prime is 1198415579. The reversal of 1198415540 is 455148911.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79780624 + 1118634916 = 8932^2 + 33446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1198415494 and 1198415503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149966 + ... + 157754.

It is an arithmetic number, because the mean of its divisors is an integer number (40924765).

Almost surely, 2^1198415540 is an apocalyptic number.

1198415540 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 1198415540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473291540).

1198415540 is an abundant number, since it is smaller than the sum of its proper divisors (1748167540).

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

1198415540 is a wasteful number, since it uses less digits than its factorization.

1198415540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7969 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 1198415540 is about 34618.1388870055. The cubic root of 1198415540 is about 1062.1906576267.

The spelling of 1198415540 in words is "one billion, one hundred ninety-eight million, four hundred fifteen thousand, five hundred forty".