1613254880 has 96 divisors (see below), whose sum is σ = 4030725888. Its totient is φ = 609177600.

The previous prime is 1613254873. The next prime is 1613254901. The reversal of 1613254880 is 884523161.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 199394 + ... + 207326.

It is an arithmetic number, because the mean of its divisors is an integer number (41986728).

Almost surely, 2^1613254880 is an apocalyptic number.

1613254880 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 1613254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015362944).

1613254880 is an abundant number, since it is smaller than the sum of its proper divisors (2417471008).

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

1613254880 is a wasteful number, since it uses less digits than its factorization.

1613254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 1613254880 is about 40165.3442659216. The cubic root of 1613254880 is about 1172.8280092723.

The spelling of 1613254880 in words is "one billion, six hundred thirteen million, two hundred fifty-four thousand, eight hundred eighty".