962721120 has 384 divisors, whose sum is σ = 3413975040. Its totient is φ = 227082240.

The previous prime is 962721079. The next prime is 962721131. The reversal of 962721120 is 21127269.

962721120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 9924912 + ... + 9925008.

It is an arithmetic number, because the mean of its divisors is an integer number (8890560).

Almost surely, 2^962721120 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 962721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706987520).

962721120 is an abundant number, since it is smaller than the sum of its proper divisors (2451253920).

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

962721120 is a wasteful number, since it uses less digits than its factorization.

962721120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 962721120 is about 31027.7475818017. The cubic root of 962721120 is about 987.4160142214.

Adding to 962721120 its reverse (21127269), we get a palindrome (983848389).

The spelling of 962721120 in words is "nine hundred sixty-two million, seven hundred twenty-one thousand, one hundred twenty".