1006760898 has 216 divisors, whose sum is σ = 2740167612. Its totient is φ = 265161600.

The previous prime is 1006760891. The next prime is 1006760903. The reversal of 1006760898 is 8980676001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1005714369 + 1046529 = 31713^2 + 1023^2 .

It is not an unprimeable number, because it can be changed into a prime (1006760891) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27209736 + ... + 27209772.

Almost surely, 2^1006760898 is an apocalyptic number.

1006760898 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006760898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370083806).

1006760898 is an abundant number, since it is smaller than the sum of its proper divisors (1733406714).

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

1006760898 is a wasteful number, since it uses less digits than its factorization.

1006760898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1006760898 is about 31729.4957098281. The cubic root of 1006760898 is about 1002.2485727974.

The spelling of 1006760898 in words is "one billion, six million, seven hundred sixty thousand, eight hundred ninety-eight".