611689344 has 384 divisors, whose sum is σ = 2093040000. Its totient is φ = 157151232.

The previous prime is 611689321. The next prime is 611689367. The reversal of 611689344 is 443986116.

It is an interprime number because it is at equal distance from previous prime (611689321) and next prime (611689367).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 611689296 and 611689305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10367587 + ... + 10367645.

It is an arithmetic number, because the mean of its divisors is an integer number (5450625).

Almost surely, 2^611689344 is an apocalyptic number.

611689344 is a gapful number since it is divisible by the number (64) 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 611689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046520000).

611689344 is an abundant number, since it is smaller than the sum of its proper divisors (1481350656).

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

611689344 is a wasteful number, since it uses less digits than its factorization.

611689344 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 digits is 124416, while the sum is 42.

The square root of 611689344 is about 24732.3541944555. The cubic root of 611689344 is about 848.8747944181.

The spelling of 611689344 in words is "six hundred eleven million, six hundred eighty-nine thousand, three hundred forty-four".