4007640 has 128 divisors (see below), whose sum is σ = 14837760. Its totient is φ = 843264.

The previous prime is 4007629. The next prime is 4007657. The reversal of 4007640 is 467004.

It is a super-2 number, since 2×4007640² = 32122356739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10737 + ... + 11103.

It is an arithmetic number, because the mean of its divisors is an integer number (115920).

Almost surely, 2^4007640 is an apocalyptic number.

4007640 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 4007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418880).

4007640 is an abundant number, since it is smaller than the sum of its proper divisors (10830120).

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

4007640 is a wasteful number, since it uses less digits than its factorization.

4007640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4007640 is about 2001.9090888449. The cubic root of 4007640 is about 158.8411054542.

The spelling of 4007640 in words is "four million, seven thousand, six hundred forty".