1961751792 has 160 divisors (see below), whose sum is σ = 6804564480. Its totient is φ = 470338560.

The previous prime is 1961751787. The next prime is 1961751821. The reversal of 1961751792 is 2971571691.

It is a super-2 number, since 2×1961751792² = 7696940186830422528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27634 + ... + 68462.

It is an arithmetic number, because the mean of its divisors is an integer number (42528528).

Almost surely, 2^1961751792 is an apocalyptic number.

1961751792 is a gapful number since it is divisible by the number (12) 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 1961751792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402282240).

1961751792 is an abundant number, since it is smaller than the sum of its proper divisors (4842812688).

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

1961751792 is a wasteful number, since it uses less digits than its factorization.

1961751792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40871 (or 40865 counting only the distinct ones).

The product of its digits is 238140, while the sum is 48.

The square root of 1961751792 is about 44291.6672975854. The cubic root of 1961751792 is about 1251.8376793172.

The spelling of 1961751792 in words is "one billion, nine hundred sixty-one million, seven hundred fifty-one thousand, seven hundred ninety-two".