962976924 has 336 divisors, whose sum is σ = 3290542080. Its totient is φ = 239345280.

The previous prime is 962976923. The next prime is 962976947. The reversal of 962976924 is 429679269.

962976924 is a `hidden beast` number, since 9 + 629 + 7 + 6 + 9 + 2 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2939328) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962976923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5041669 + ... + 5041859.

It is an arithmetic number, because the mean of its divisors is an integer number (9793280).

Almost surely, 2^962976924 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 962976924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645271040).

962976924 is an abundant number, since it is smaller than the sum of its proper divisors (2327565156).

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

962976924 is a wasteful number, since it uses less digits than its factorization.

962976924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 962976924 is about 31031.8694892847. The cubic root of 962976924 is about 987.5034616981.

The spelling of 962976924 in words is "nine hundred sixty-two million, nine hundred seventy-six thousand, nine hundred twenty-four".