1420784064 has 336 divisors, whose sum is σ = 4994103296. Its totient is φ = 391910400.

The previous prime is 1420784047. The next prime is 1420784081. The reversal of 1420784064 is 4604870241.

It is an interprime number because it is at equal distance from previous prime (1420784047) and next prime (1420784081).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374574 + ... + 3374994.

Almost surely, 2^1420784064 is an apocalyptic number.

1420784064 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 1420784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497051648).

1420784064 is an abundant number, since it is smaller than the sum of its proper divisors (3573319232).

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

1420784064 is an equidigital number, since it uses as much as digits as its factorization.

1420784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1420784064 is about 37693.2893762272. The cubic root of 1420784064 is about 1124.1976999713.

The spelling of 1420784064 in words is "one billion, four hundred twenty million, seven hundred eighty-four thousand, sixty-four".