968048640 has 360 divisors, whose sum is σ = 3649719528. Its totient is φ = 235929600.

The previous prime is 968048621. The next prime is 968048659. The reversal of 968048640 is 46840869.

It is a happy number.

968048640 is a `hidden beast` number, since 96 + 80 + 486 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (968048621) and next prime (968048659).

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 807469056 = 12672^2 + 28416^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9584590 + ... + 9584690.

Almost surely, 2^968048640 is an apocalyptic number.

968048640 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 968048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824859764).

968048640 is an abundant number, since it is smaller than the sum of its proper divisors (2681670888).

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

968048640 is a wasteful number, since it uses less digits than its factorization.

968048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 968048640 is about 31113.4800367943. The cubic root of 968048640 is about 989.2340570839.

The spelling of 968048640 in words is "nine hundred sixty-eight million, forty-eight thousand, six hundred forty".