962048160 has 72 divisors (see below), whose sum is σ = 3282994260. Its totient is φ = 256545792.

The previous prime is 962048057. The next prime is 962048161. The reversal of 962048160 is 61840269.

It can be written as a sum of positive squares in 2 ways, for example, as 907937424 + 54110736 = 30132^2 + 7356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (962048161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332605 + ... + 335484.

Almost surely, 2^962048160 is an apocalyptic number.

962048160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

962048160 is an abundant number, since it is smaller than the sum of its proper divisors (2320946100).

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

962048160 is a wasteful number, since it uses less digits than its factorization.

962048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668110 (or 668099 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 962048160 is about 31016.9011991849. The cubic root of 962048160 is about 987.1858865282.

The spelling of 962048160 in words is "nine hundred sixty-two million, forty-eight thousand, one hundred sixty".