1361610624 has 64 divisors (see below), whose sum is σ = 3945588480. Its totient is φ = 412608000.

The previous prime is 1361610617. The next prime is 1361610629. The reversal of 1361610624 is 4260161631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1361610591 and 1361610600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361610629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156952 + ... + 165399.

It is an arithmetic number, because the mean of its divisors is an integer number (61649820).

Almost surely, 2^1361610624 is an apocalyptic number.

It is an amenable number.

1361610624 is an abundant number, since it is smaller than the sum of its proper divisors (2583977856).

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

1361610624 is a wasteful number, since it uses less digits than its factorization.

1361610624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322379 (or 322367 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1361610624 is about 36900.0084552836. The cubic root of 1361610624 is about 1108.3688467763.

The spelling of 1361610624 in words is "one billion, three hundred sixty-one million, six hundred ten thousand, six hundred twenty-four".