2975664 has 40 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 970048.

The previous prime is 2975653. The next prime is 2975677. The reversal of 2975664 is 4665792.

2975664 = T₁₂₇ + T₁₂₈ + ... + T₂₇₀.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1597 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (196416).

2^2975664 is an apocalyptic number.

2975664 is a gapful number since it is divisible by the number (24) 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 2975664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

2975664 is an abundant number, since it is smaller than the sum of its proper divisors (4880976).

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

2975664 is a wasteful number, since it uses less digits than its factorization.

2975664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 2975664 is about 1725.0113043108. The cubic root of 2975664 is about 143.8339134512.

Subtracting from 2975664 its sum of digits (39), we obtain a square (2975625 = 1725²).

The spelling of 2975664 in words is "two million, nine hundred seventy-five thousand, six hundred sixty-four".