1561007040 has 112 divisors (see below), whose sum is σ = 4988247072. Its totient is φ = 413577216.

The previous prime is 1561007009. The next prime is 1561007047. The reversal of 1561007040 is 407001651.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1561007040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561007047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145542 + ... + 155898.

Almost surely, 2^1561007040 is an apocalyptic number.

1561007040 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 1561007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494123536).

1561007040 is an abundant number, since it is smaller than the sum of its proper divisors (3427240032).

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

1561007040 is a wasteful number, since it uses less digits than its factorization.

1561007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1561007040 is about 39509.5816226900. The cubic root of 1561007040 is about 1160.0275062839.

Adding to 1561007040 its reverse (407001651), we get a palindrome (1968008691).

The spelling of 1561007040 in words is "one billion, five hundred sixty-one million, seven thousand, forty".