611167680 has 560 divisors, whose sum is σ = 2456261280. Its totient is φ = 143327232.

The previous prime is 611167679. The next prime is 611167691. The reversal of 611167680 is 86761116.

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

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, 8372124 + ... + 8372196.

Almost surely, 2^611167680 is an apocalyptic number.

611167680 is a gapful number since it is divisible by the number (60) 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 611167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228130640).

611167680 is an abundant number, since it is smaller than the sum of its proper divisors (1845093600).

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

611167680 is a wasteful number, since it uses less digits than its factorization.

611167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 611167680 is about 24721.8057592887. The cubic root of 611167680 is about 848.6334118876.

The spelling of 611167680 in words is "six hundred eleven million, one hundred sixty-seven thousand, six hundred eighty".