961271808 has 288 divisors, whose sum is σ = 3107220480. Its totient is φ = 263208960.

The previous prime is 961271789. The next prime is 961271827. The reversal of 961271808 is 808172169.

It is an interprime number because it is at equal distance from previous prime (961271789) and next prime (961271827).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 961271808.

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, 9332685 + ... + 9332787.

It is an arithmetic number, because the mean of its divisors is an integer number (10788960).

Almost surely, 2^961271808 is an apocalyptic number.

961271808 is a gapful number since it is divisible by the number (98) 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 961271808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553610240).

961271808 is an abundant number, since it is smaller than the sum of its proper divisors (2145948672).

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

961271808 is a wasteful number, since it uses less digits than its factorization.

961271808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 961271808 is about 31004.3836900526. The cubic root of 961271808 is about 986.9202691995.

The spelling of 961271808 in words is "nine hundred sixty-one million, two hundred seventy-one thousand, eight hundred eight".