1020706272 has 240 divisors, whose sum is σ = 3198000960. Its totient is φ = 318753792.

The previous prime is 1020706237. The next prime is 1020706283. The reversal of 1020706272 is 2726070201.

1020706272 is a `hidden beast` number, since 10 + 20 + 7 + 0 + 627 + 2 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2781033 + ... + 2781399.

It is an arithmetic number, because the mean of its divisors is an integer number (13325004).

Almost surely, 2^1020706272 is an apocalyptic number.

1020706272 is a gapful number since it is divisible by the number (12) 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 1020706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599000480).

1020706272 is an abundant number, since it is smaller than the sum of its proper divisors (2177294688).

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

1020706272 is a wasteful number, since it uses less digits than its factorization.

1020706272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1020706272 is about 31948.4940490158. The cubic root of 1020706272 is about 1006.8549923721.

Adding to 1020706272 its reverse (2726070201), we get a palindrome (3746776473).

The spelling of 1020706272 in words is "one billion, twenty million, seven hundred six thousand, two hundred seventy-two".