1961929872 has 120 divisors (see below), whose sum is σ = 6321309696. Its totient is φ = 556420608.

The previous prime is 1961929867. The next prime is 1961929903. The reversal of 1961929872 is 2789291691.

1961929872 is a `hidden beast` number, since 19 + 619 + 2 + 9 + 8 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 130993 + ... + 145199.

Almost surely, 2^1961929872 is an apocalyptic number.

1961929872 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 1961929872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160654848).

1961929872 is an abundant number, since it is smaller than the sum of its proper divisors (4359379824).

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

1961929872 is a wasteful number, since it uses less digits than its factorization.

1961929872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14365 (or 14356 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 1961929872 is about 44293.6775623790. The cubic root of 1961929872 is about 1251.8755571142.

It can be divided in two parts, 1961929 and 872, that added together give a square (1962801 = 1401²).

The spelling of 1961929872 in words is "one billion, nine hundred sixty-one million, nine hundred twenty-nine thousand, eight hundred seventy-two".