7670628 has 72 divisors (see below), whose sum is σ = 22568000. Its totient is φ = 2151360.

The previous prime is 7670573. The next prime is 7670639. The reversal of 7670628 is 8260767.

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 = 7670592 and 7670601.

It is an unprimeable number.

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, 15123 + ... + 15621.

Almost surely, 2^7670628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7670628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284000).

7670628 is an abundant number, since it is smaller than the sum of its proper divisors (14897372).

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

7670628 is a wasteful number, since it uses less digits than its factorization.

7670628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7670628 is about 2769.5898613333. The cubic root of 7670628 is about 197.2166786278.

The spelling of 7670628 in words is "seven million, six hundred seventy thousand, six hundred twenty-eight".