1020887040 has 256 divisors, whose sum is σ = 3422499840. Its totient is φ = 259522560.

The previous prime is 1020886987. The next prime is 1020887051. The reversal of 1020887040 is 407880201.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1020886989 and 1020887007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15237087 + ... + 15237153.

It is an arithmetic number, because the mean of its divisors is an integer number (13369140).

Almost surely, 2^1020887040 is an apocalyptic number.

1020887040 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 1020887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711249920).

1020887040 is an abundant number, since it is smaller than the sum of its proper divisors (2401612800).

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

1020887040 is an frugal number, since it uses more digits than its factorization.

1020887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1020887040 is about 31951.3229773041. The cubic root of 1020887040 is about 1006.9144271722.

The spelling of 1020887040 in words is "one billion, twenty million, eight hundred eighty-seven thousand, forty".