962648064 has 240 divisors, whose sum is σ = 3290086800. Its totient is φ = 274710528.

The previous prime is 962648051. The next prime is 962648081. The reversal of 962648064 is 460846269.

962648064 is a `hidden beast` number, since 96 + 26 + 480 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1160802 + ... + 1161630.

It is an arithmetic number, because the mean of its divisors is an integer number (13708695).

Almost surely, 2^962648064 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 962648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645043400).

962648064 is an abundant number, since it is smaller than the sum of its proper divisors (2327438736).

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

962648064 is an equidigital number, since it uses as much as digits as its factorization.

962648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 962648064 is about 31026.5702906396. The cubic root of 962648064 is about 987.3910369330.

The spelling of 962648064 in words is "nine hundred sixty-two million, six hundred forty-eight thousand, sixty-four".