4652640 has 120 divisors (see below), whose sum is σ = 16465680. Its totient is φ = 1237248.

The previous prime is 4652623. The next prime is 4652677. The reversal of 4652640 is 462564.

It is a happy number.

4652640 is a `hidden beast` number, since 4 + 652 + 6 + 4 + 0 = 666.

4652640 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12781 + ... + 13139.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 2^4652640 is an apocalyptic number.

4652640 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 4652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232840).

4652640 is an abundant number, since it is smaller than the sum of its proper divisors (11813040).

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

4652640 is a wasteful number, since it uses less digits than its factorization.

4652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4652640 is about 2156.9979137681. The cubic root of 4652640 is about 166.9423349019.

The spelling of 4652640 in words is "four million, six hundred fifty-two thousand, six hundred forty".