1042087680 has 540 divisors, whose sum is σ = 4103105160. Its totient is φ = 251817984.

The previous prime is 1042087679. The next prime is 1042087681. The reversal of 1042087680 is 867802401.

It is an interprime number because it is at equal distance from previous prime (1042087679) and next prime (1042087681).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042087681) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45308149 + ... + 45308171.

Almost surely, 2^1042087680 is an apocalyptic number.

1042087680 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 1042087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051552580).

1042087680 is an abundant number, since it is smaller than the sum of its proper divisors (3061017480).

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

1042087680 is an equidigital number, since it uses as much as digits as its factorization.

1042087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1042087680 is about 32281.3828700073. The cubic root of 1042087680 is about 1013.8368842343.

The spelling of 1042087680 in words is "one billion, forty-two million, eighty-seven thousand, six hundred eighty".