978516 has 72 divisors (see below), whose sum is σ = 3092544. Its totient is φ = 253440.

The previous prime is 978511. The next prime is 978521. The reversal of 978516 is 615879.

It is an interprime number because it is at equal distance from previous prime (978511) and next prime (978521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978511) by changing a digit.

978516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2596 + ... + 2948.

It is an arithmetic number, because the mean of its divisors is an integer number (42952).

2⁹⁷⁸⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546272).

978516 is an abundant number, since it is smaller than the sum of its proper divisors (2114028).

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

978516 is a wasteful number, since it uses less digits than its factorization.

978516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 376 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 978516 is about 989.1996765062. The cubic root of 978516 is about 99.2786760953.

It can be divided in two parts, 9785 and 16, that added together give a square (9801 = 99²).

The spelling of 978516 in words is "nine hundred seventy-eight thousand, five hundred sixteen".