962680752 has 240 divisors, whose sum is σ = 3203366400. Its totient is φ = 266595840.

The previous prime is 962680751. The next prime is 962680759. The reversal of 962680752 is 257086269.

962680752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 962680698 and 962680707.

It is not an unprimeable number, because it can be changed into a prime (962680751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872233 + ... + 873335.

It is an arithmetic number, because the mean of its divisors is an integer number (13347360).

Almost surely, 2^962680752 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 962680752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601683200).

962680752 is an abundant number, since it is smaller than the sum of its proper divisors (2240685648).

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

962680752 is a wasteful number, since it uses less digits than its factorization.

962680752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 962680752 is about 31027.0970604728. The cubic root of 962680752 is about 987.4022128668.

The spelling of 962680752 in words is "nine hundred sixty-two million, six hundred eighty thousand, seven hundred fifty-two".