1461001560 has 64 divisors (see below), whose sum is σ = 4443072480. Its totient is φ = 384261120.

The previous prime is 1461001547. The next prime is 1461001571. The reversal of 1461001560 is 651001641.

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 1461001560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74631 + ... + 92150.

Almost surely, 2^1461001560 is an apocalyptic number.

1461001560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461001560 is an abundant number, since it is smaller than the sum of its proper divisors (2982070920).

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

1461001560 is a wasteful number, since it uses less digits than its factorization.

1461001560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166868 (or 166864 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1461001560 is about 38223.0501137730. The cubic root of 1461001560 is about 1134.7065450008.

The spelling of 1461001560 in words is "one billion, four hundred sixty-one million, one thousand, five hundred sixty".