4996640 has 96 divisors (see below), whose sum is σ = 13716864. Its totient is φ = 1699840.

The previous prime is 4996637. The next prime is 4996679. The reversal of 4996640 is 466994.

4996640 = 56² + 57² + ... + 247².

It is a super-2 number, since 2×4996640² = 49932822579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4996594 and 4996603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29837 + ... + 30003.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 2^4996640 is an apocalyptic number.

4996640 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 4996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858432).

4996640 is an abundant number, since it is smaller than the sum of its proper divisors (8720224).

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

4996640 is a wasteful number, since it uses less digits than its factorization.

4996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 4996640 is about 2235.3165323954. The cubic root of 4996640 is about 170.9592826233.

The spelling of 4996640 in words is "four million, nine hundred ninety-six thousand, six hundred forty".