1046087680 has 192 divisors, whose sum is σ = 2823387840. Its totient is φ = 368640000.

The previous prime is 1046087677. The next prime is 1046087687. The reversal of 1046087680 is 867806401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1046087687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167555 + ... + 4167805.

It is an arithmetic number, because the mean of its divisors is an integer number (14705145).

Almost surely, 2^1046087680 is an apocalyptic number.

1046087680 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 1046087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411693920).

1046087680 is an abundant number, since it is smaller than the sum of its proper divisors (1777300160).

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

1046087680 is a wasteful number, since it uses less digits than its factorization.

1046087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1046087680 is about 32343.2787453591. The cubic root of 1046087680 is about 1015.1324149603.

The spelling of 1046087680 in words is "one billion, forty-six million, eighty-seven thousand, six hundred eighty".