1007541980 has 48 divisors (see below), whose sum is σ = 2173530240. Its totient is φ = 392175168.

The previous prime is 1007541973. The next prime is 1007541989. The reversal of 1007541980 is 891457001.

It is a self number, because there is not a number n which added to its sum of digits gives 1007541980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007541989) 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, 106691 + ... + 115749.

It is an arithmetic number, because the mean of its divisors is an integer number (45281880).

Almost surely, 2^1007541980 is an apocalyptic number.

1007541980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007541980 is an abundant number, since it is smaller than the sum of its proper divisors (1165988260).

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

1007541980 is a wasteful number, since it uses less digits than its factorization.

1007541980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 1007541980 is about 31741.8017762067. The cubic root of 1007541980 is about 1002.5076995198.

Adding to 1007541980 its reverse (891457001), we get a palindrome (1898998981).

The spelling of 1007541980 in words is "one billion, seven million, five hundred forty-one thousand, nine hundred eighty".