7638150 has 48 divisors (see below), whose sum is σ = 20404944. Its totient is φ = 1879680.

The previous prime is 7638149. The next prime is 7638167. The reversal of 7638150 is 518367.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9 + ... + 3908.

It is an arithmetic number, because the mean of its divisors is an integer number (425103).

Almost surely, 2^7638150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202472).

7638150 is an abundant number, since it is smaller than the sum of its proper divisors (12766794).

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

7638150 is a wasteful number, since it uses less digits than its factorization.

7638150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 7638150 is about 2763.7203187009. The cubic root of 7638150 is about 196.9379415784.

It can be divided in two parts, 76 and 38150, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 7638150 in words is "seven million, six hundred thirty-eight thousand, one hundred fifty".