969978240 has 640 divisors, whose sum is σ = 4336485120. Its totient is φ = 201553920.

The previous prime is 969978227. The next prime is 969978257. The reversal of 969978240 is 42879969.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88179835 + ... + 88179845.

It is an arithmetic number, because the mean of its divisors is an integer number (6775758).

Almost surely, 2^969978240 is an apocalyptic number.

969978240 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 969978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168242560).

969978240 is an abundant number, since it is smaller than the sum of its proper divisors (3366506880).

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

969978240 is an frugal number, since it uses more digits than its factorization.

969978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 969978240 is about 31144.4736670890. The cubic root of 969978240 is about 989.8908970677.

The spelling of 969978240 in words is "nine hundred sixty-nine million, nine hundred seventy-eight thousand, two hundred forty".