1491835968 has 280 divisors, whose sum is σ = 5163312000. Its totient is φ = 425730816.

The previous prime is 1491835907. The next prime is 1491835979. The reversal of 1491835968 is 8695381941.

1491835968 is a `hidden beast` number, since 1 + 49 + 1 + 8 + 3 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1777693 + ... + 1778531.

It is an arithmetic number, because the mean of its divisors is an integer number (18440400).

Almost surely, 2^1491835968 is an apocalyptic number.

1491835968 is a gapful number since it is divisible by the number (18) 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 1491835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581656000).

1491835968 is an abundant number, since it is smaller than the sum of its proper divisors (3671476032).

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

1491835968 is an frugal number, since it uses more digits than its factorization.

1491835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 851 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1491835968 is about 38624.2924595390. The cubic root of 1491835968 is about 1142.6336892175.

The spelling of 1491835968 in words is "one billion, four hundred ninety-one million, eight hundred thirty-five thousand, nine hundred sixty-eight".