1420972560 has 180 divisors, whose sum is σ = 5551355628. Its totient is φ = 324785664.

The previous prime is 1420972481. The next prime is 1420972571. The reversal of 1420972560 is 652790241.

1420972560 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 97 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 976437504 + 444535056 = 31248^2 + 21084^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15142 + ... + 55418.

Almost surely, 2^1420972560 is an apocalyptic number.

1420972560 is a gapful number since it is divisible by the number (10) 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 1420972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775677814).

1420972560 is an abundant number, since it is smaller than the sum of its proper divisors (4130383068).

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

1420972560 is a wasteful number, since it uses less digits than its factorization.

1420972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40310 (or 40294 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1420972560 is about 37695.7896853216. The cubic root of 1420972560 is about 1124.2474136949.

The spelling of 1420972560 in words is "one billion, four hundred twenty million, nine hundred seventy-two thousand, five hundred sixty".