1014642720 has 768 divisors, whose sum is σ = 4572288000. Its totient is φ = 204374016.

The previous prime is 1014642719. The next prime is 1014642763. The reversal of 1014642720 is 272464101.

1014642720 is a `hidden beast` number, since 1 + 0 + 14 + 642 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11400436 + ... + 11400524.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^1014642720 is an apocalyptic number.

1014642720 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 1014642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144000).

1014642720 is an abundant number, since it is smaller than the sum of its proper divisors (3557645280).

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

1014642720 is a wasteful number, since it uses less digits than its factorization.

1014642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1014642720 is about 31853.4569552506. The cubic root of 1014642720 is about 1004.8572753435.

The spelling of 1014642720 in words is "one billion, fourteen million, six hundred forty-two thousand, seven hundred twenty".