1405076064 has 96 divisors (see below), whose sum is σ = 4254840576. Its totient is φ = 397678080.

The previous prime is 1405076063. The next prime is 1405076077. The reversal of 1405076064 is 4606705041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405076063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62134 + ... + 81674.

It is an arithmetic number, because the mean of its divisors is an integer number (44321256).

Almost surely, 2^1405076064 is an apocalyptic number.

1405076064 is a gapful number since it is divisible by the number (14) 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 1405076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127420288).

1405076064 is an abundant number, since it is smaller than the sum of its proper divisors (2849764512).

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

1405076064 is a wasteful number, since it uses less digits than its factorization.

1405076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 19660 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1405076064 is about 37484.3442519674. The cubic root of 1405076064 is about 1120.0393438560.

The spelling of 1405076064 in words is "one billion, four hundred five million, seventy-six thousand, sixty-four".