978147360 has 384 divisors, whose sum is σ = 3821126400. Its totient is φ = 232243200.

The previous prime is 978147337. The next prime is 978147403. The reversal of 978147360 is 63741879.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395010 + ... + 1395710.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2^978147360 is an apocalyptic number.

978147360 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 978147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910563200).

978147360 is an abundant number, since it is smaller than the sum of its proper divisors (2842979040).

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

978147360 is a wasteful number, since it uses less digits than its factorization.

978147360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 978147360 is about 31275.3474800841. The cubic root of 978147360 is about 992.6620732009.

The spelling of 978147360 in words is "nine hundred seventy-eight million, one hundred forty-seven thousand, three hundred sixty".