1041628680 has 256 divisors, whose sum is σ = 3587270400. Its totient is φ = 268738560.

The previous prime is 1041628639. The next prime is 1041628691. The reversal of 1041628680 is 868261401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6390279 + ... + 6390441.

It is an arithmetic number, because the mean of its divisors is an integer number (14012775).

Almost surely, 2^1041628680 is an apocalyptic number.

1041628680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041628680 is the 26352-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041628680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793635200).

1041628680 is an abundant number, since it is smaller than the sum of its proper divisors (2545641720).

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

1041628680 is a wasteful number, since it uses less digits than its factorization.

1041628680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1041628680 is about 32274.2727261204. The cubic root of 1041628680 is about 1013.6880101749.

The spelling of 1041628680 in words is "one billion, forty-one million, six hundred twenty-eight thousand, six hundred eighty".