4958640 has 120 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1290240.

The previous prime is 4958633. The next prime is 4958647. The reversal of 4958640 is 468594.

4958640 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4958633) and next prime (4958647).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4958640² = 49176221299200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4958595 and 4958604.

It is not an unprimeable number, because it can be changed into a prime (4958647) 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, 51072 + ... + 51168.

Almost surely, 2^4958640 is an apocalyptic number.

4958640 is a gapful number since it is divisible by the number (40) 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 4958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

4958640 is an abundant number, since it is smaller than the sum of its proper divisors (12102768).

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

4958640 is a wasteful number, since it uses less digits than its factorization.

4958640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4958640 is about 2226.8003951859. The cubic root of 4958640 is about 170.5247912168.

The spelling of 4958640 in words is "four million, nine hundred fifty-eight thousand, six hundred forty".