1072861020 has 432 divisors, whose sum is σ = 4238567424. Its totient is φ = 214790400.

The previous prime is 1072860983. The next prime is 1072861067. The reversal of 1072861020 is 201682701.

1072861020 is a `hidden beast` number, since 1 + 0 + 7 + 28 + 610 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4726147 + ... + 4726373.

Almost surely, 2^1072861020 is an apocalyptic number.

1072861020 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 1072861020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119283712).

1072861020 is an abundant number, since it is smaller than the sum of its proper divisors (3165706404).

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

1072861020 is a wasteful number, since it uses less digits than its factorization.

1072861020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1072861020 is about 32754.5572401765. The cubic root of 1072861020 is about 1023.7199233517.

The spelling of 1072861020 in words is "one billion, seventy-two million, eight hundred sixty-one thousand, twenty".