1613577672 has 160 divisors (see below), whose sum is σ = 5207685120. Its totient is φ = 457228800.

The previous prime is 1613577671. The next prime is 1613577677. The reversal of 1613577672 is 2767753161.

1613577672 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 577 + 6 + 72 = 666.

Its product of digits (370440) is a multiple of the sum of its prime divisors (2940).

It is not an unprimeable number, because it can be changed into a prime (1613577671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 574672 + ... + 577472.

It is an arithmetic number, because the mean of its divisors is an integer number (32548032).

Almost surely, 2^1613577672 is an apocalyptic number.

1613577672 is a gapful number since it is divisible by the number (12) 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 1613577672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603842560).

1613577672 is an abundant number, since it is smaller than the sum of its proper divisors (3594107448).

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

1613577672 is a wasteful number, since it uses less digits than its factorization.

1613577672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2940 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 1613577672 is about 40169.3623549092. The cubic root of 1613577672 is about 1172.9062267643.

The spelling of 1613577672 in words is "one billion, six hundred thirteen million, five hundred seventy-seven thousand, six hundred seventy-two".