1921400676 has 120 divisors (see below), whose sum is σ = 5555947320. Its totient is φ = 575175168.

The previous prime is 1921400629. The next prime is 1921400681. The reversal of 1921400676 is 6760041291.

1921400676 is a `hidden beast` number, since 192 + 1 + 400 + 67 + 6 = 666.

1921400676 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5062500 + 1916338176 = 2250^2 + 43776^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1921400676.

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, 149680 + ... + 162008.

It is an arithmetic number, because the mean of its divisors is an integer number (46299561).

Almost surely, 2^1921400676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1921400676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777973660).

1921400676 is an abundant number, since it is smaller than the sum of its proper divisors (3634546644).

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

1921400676 is a wasteful number, since it uses less digits than its factorization.

1921400676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12395 (or 12384 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1921400676 is about 43833.7846415296. The cubic root of 1921400676 is about 1243.1951668317.

The spelling of 1921400676 in words is "one billion, nine hundred twenty-one million, four hundred thousand, six hundred seventy-six".