962746080 has 96 divisors (see below), whose sum is σ = 3048192000. Its totient is φ = 255416832.

The previous prime is 962746027. The next prime is 962746111. The reversal of 962746080 is 80647269.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90481 + ... + 100559.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 2^962746080 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 962746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

962746080 is an abundant number, since it is smaller than the sum of its proper divisors (2085445920).

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

962746080 is a wasteful number, since it uses less digits than its factorization.

962746080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10296 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 962746080 is about 31028.1497998189. The cubic root of 962746080 is about 987.4245475651.

The spelling of 962746080 in words is "nine hundred sixty-two million, seven hundred forty-six thousand, eighty".