1613064960 has 216 divisors, whose sum is σ = 6010905264. Its totient is φ = 397025280.

The previous prime is 1613064953. The next prime is 1613064967. The reversal of 1613064960 is 694603161.

1613064960 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 0 + 649 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1613064953) and next prime (1613064967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1613064967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144375 + ... + 155145.

Almost surely, 2^1613064960 is an apocalyptic number.

1613064960 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 1613064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005452632).

1613064960 is an abundant number, since it is smaller than the sum of its proper divisors (4397840304).

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

1613064960 is a wasteful number, since it uses less digits than its factorization.

1613064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10811 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1613064960 is about 40162.9799691208. The cubic root of 1613064960 is about 1172.7819838448.

The spelling of 1613064960 in words is "one billion, six hundred thirteen million, sixty-four thousand, nine hundred sixty".