7057960 has 96 divisors (see below), whose sum is σ = 19965960. Its totient is φ = 2225664.

The previous prime is 7057951. The next prime is 7057961. The reversal of 7057960 is 697507.

It can be written as a sum of positive squares in 4 ways, for example, as 3161284 + 3896676 = 1778^2 + 1974^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7057961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25342 + ... + 25618.

Almost surely, 2^7057960 is an apocalyptic number.

7057960 is a gapful number since it is divisible by the number (70) 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 7057960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982980).

7057960 is an abundant number, since it is smaller than the sum of its proper divisors (12908000).

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

7057960 is a wasteful number, since it uses less digits than its factorization.

7057960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 7057960 is about 2656.6821413184. The cubic root of 7057960 is about 191.8196367555.

The spelling of 7057960 in words is "seven million, fifty-seven thousand, nine hundred sixty".