962442720 has 288 divisors, whose sum is σ = 3579357600. Its totient is φ = 234565632.

The previous prime is 962442713. The next prime is 962442737. The reversal of 962442720 is 27244269.

962442720 is a `hidden beast` number, since 9 + 624 + 4 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 792834 + ... + 794046.

It is an arithmetic number, because the mean of its divisors is an integer number (12428325).

Almost surely, 2^962442720 is an apocalyptic number.

962442720 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 962442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789678800).

962442720 is an abundant number, since it is smaller than the sum of its proper divisors (2616914880).

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

962442720 is a wasteful number, since it uses less digits than its factorization.

962442720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 962442720 is about 31023.2609504546. The cubic root of 962442720 is about 987.3208246194.

Adding to 962442720 its reverse (27244269), we get a palindrome (989686989).

The spelling of 962442720 in words is "nine hundred sixty-two million, four hundred forty-two thousand, seven hundred twenty".