612166464 has 448 divisors, whose sum is σ = 2355494400. Its totient is φ = 151289856.

The previous prime is 612166463. The next prime is 612166469. The reversal of 612166464 is 464661216.

612166464 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612166463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2673102 + ... + 2673330.

It is an arithmetic number, because the mean of its divisors is an integer number (5257800).

Almost surely, 2^612166464 is an apocalyptic number.

612166464 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 612166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177747200).

612166464 is an abundant number, since it is smaller than the sum of its proper divisors (1743327936).

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

612166464 is a wasteful number, since it uses less digits than its factorization.

612166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 612166464 is about 24741.9979791447. The cubic root of 612166464 is about 849.0954455744.

The spelling of 612166464 in words is "six hundred twelve million, one hundred sixty-six thousand, four hundred sixty-four".