4077640 has 32 divisors (see below), whose sum is σ = 10486080. Its totient is φ = 1397952.

The previous prime is 4077631. The next prime is 4077643. The reversal of 4077640 is 467704.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4077599 and 4077608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7002 + ... + 7561.

It is an arithmetic number, because the mean of its divisors is an integer number (327690).

Almost surely, 2^4077640 is an apocalyptic number.

4077640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4077640 is an abundant number, since it is smaller than the sum of its proper divisors (6408440).

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

4077640 is a wasteful number, since it uses less digits than its factorization.

4077640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14581 (or 14577 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 4077640 is about 2019.3167161196. The cubic root of 4077640 is about 159.7605794148.

The spelling of 4077640 in words is "four million, seventy-seven thousand, six hundred forty".