976730144 has 192 divisors, whose sum is σ = 2316625920. Its totient is φ = 401448960.

The previous prime is 976730141. The next prime is 976730159. The reversal of 976730144 is 441037679.

It is not an unprimeable number, because it can be changed into a prime (976730141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10974452 + ... + 10974540.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2^976730144 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 976730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

976730144 is an abundant number, since it is smaller than the sum of its proper divisors (1339895776).

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

976730144 is a wasteful number, since it uses less digits than its factorization.

976730144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 976730144 is about 31252.6821888938. The cubic root of 976730144 is about 992.1824261277.

The spelling of 976730144 in words is "nine hundred seventy-six million, seven hundred thirty thousand, one hundred forty-four".