962544960 has 336 divisors, whose sum is σ = 3647943936. Its totient is φ = 231469056.

The previous prime is 962544949. The next prime is 962544967. The reversal of 962544960 is 69445269.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962544967) 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, 1759407 + ... + 1759953.

It is an arithmetic number, because the mean of its divisors is an integer number (10856976).

Almost surely, 2^962544960 is an apocalyptic number.

962544960 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 962544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823971968).

962544960 is an abundant number, since it is smaller than the sum of its proper divisors (2685398976).

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

962544960 is a wasteful number, since it uses less digits than its factorization.

962544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 962544960 is about 31024.9087025248. The cubic root of 962544960 is about 987.3557843127.

The spelling of 962544960 in words is "nine hundred sixty-two million, five hundred forty-four thousand, nine hundred sixty".