978517260 has 288 divisors, whose sum is σ = 3595737600. Its totient is φ = 223280064.

The previous prime is 978517259. The next prime is 978517261. The reversal of 978517260 is 62715879.

978517260 is a `hidden beast` number, since 9 + 78 + 517 + 2 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (978517259) and next prime (978517261).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (978517261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1666687 + ... + 1667273.

It is an arithmetic number, because the mean of its divisors is an integer number (12485200).

Almost surely, 2^978517260 is an apocalyptic number.

978517260 is a gapful number since it is divisible by the number (90) 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 978517260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797868800).

978517260 is an abundant number, since it is smaller than the sum of its proper divisors (2617220340).

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

978517260 is a wasteful number, since it uses less digits than its factorization.

978517260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 978517260 is about 31281.2605244738. The cubic root of 978517260 is about 992.7871870778.

It can be divided in two parts, 97851 and 7260, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 978517260 in words is "nine hundred seventy-eight million, five hundred seventeen thousand, two hundred sixty".