1617673680 has 400 divisors, whose sum is σ = 6762602880. Its totient is φ = 350106624.

The previous prime is 1617673667. The next prime is 1617673693. The reversal of 1617673680 is 863767161.

1617673680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1617673667) and next prime (1617673693).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 860902 + ... + 862778.

Almost surely, 2^1617673680 is an apocalyptic number.

1617673680 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 1617673680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381301440).

1617673680 is an abundant number, since it is smaller than the sum of its proper divisors (5144929200).

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

1617673680 is a wasteful number, since it uses less digits than its factorization.

1617673680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1617673680 is about 40220.3142702789. The cubic root of 1617673680 is about 1173.8978480481.

The spelling of 1617673680 in words is "one billion, six hundred seventeen million, six hundred seventy-three thousand, six hundred eighty".