962661960 has 384 divisors, whose sum is σ = 3591151200. Its totient is φ = 221921280.

The previous prime is 962661937. The next prime is 962661977. The reversal of 962661960 is 69166269.

962661960 is a `hidden beast` number, since 9 + 6 + 26 + 619 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8964036 + 953697924 = 2994^2 + 30882^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5564434 + ... + 5564606.

Almost surely, 2^962661960 is an apocalyptic number.

962661960 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 962661960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795575600).

962661960 is an abundant number, since it is smaller than the sum of its proper divisors (2628489240).

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

962661960 is a wasteful number, since it uses less digits than its factorization.

962661960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 962661960 is about 31026.7942269259. The cubic root of 962661960 is about 987.3957879666.

The spelling of 962661960 in words is "nine hundred sixty-two million, six hundred sixty-one thousand, nine hundred sixty".