1361537408 has 64 divisors (see below), whose sum is σ = 3381765120. Its totient is φ = 530465280.

The previous prime is 1361537399. The next prime is 1361537431. The reversal of 1361537408 is 8047351631.

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

It is a super-2 number, since 2×1361537408² = 3707568226766716928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59216 + ... + 78927.

It is an arithmetic number, because the mean of its divisors is an integer number (52840080).

Almost surely, 2^1361537408 is an apocalyptic number.

It is an amenable number.

1361537408 is an abundant number, since it is smaller than the sum of its proper divisors (2020227712).

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

1361537408 is a wasteful number, since it uses less digits than its factorization.

1361537408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138175 (or 138163 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 1361537408 is about 36899.0163554532. The cubic root of 1361537408 is about 1108.3489801599.

The spelling of 1361537408 in words is "one billion, three hundred sixty-one million, five hundred thirty-seven thousand, four hundred eight".