978742611 has 192 divisors, whose sum is σ = 1991808000. Its totient is φ = 457228800.

The previous prime is 978742601. The next prime is 978742619. The reversal of 978742611 is 116247879.

It is a happy number.

It is not a de Polignac number, because 978742611 - 2⁵ = 978742579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (978742619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23871751 + ... + 23871791.

It is an arithmetic number, because the mean of its divisors is an integer number (10374000).

Almost surely, 2^978742611 is an apocalyptic number.

978742611 is an abundant number, since it is smaller than the sum of its proper divisors (1013065389).

978742611 is a wasteful number, since it uses less digits than its factorization.

978742611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 978742611 is about 31284.8623298873. The cubic root of 978742611 is about 992.8633936754.

The spelling of 978742611 in words is "nine hundred seventy-eight million, seven hundred forty-two thousand, six hundred eleven".