7623126 has 96 divisors (see below), whose sum is σ = 20465280. Its totient is φ = 2095632.

The previous prime is 7623113. The next prime is 7623127. The reversal of 7623126 is 6213267.

7623126 = 1379² + 1380² + ... + 1382².

It is a happy number.

It is a super-2 number, since 2×7623126² = 116224100023752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7623126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7623127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113745 + ... + 113811.

It is an arithmetic number, because the mean of its divisors is an integer number (213180).

Almost surely, 2^7623126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7623126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10232640).

7623126 is an abundant number, since it is smaller than the sum of its proper divisors (12842154).

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

7623126 is a wasteful number, since it uses less digits than its factorization.

7623126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 7623126 is about 2761.0009054689. Note that the first 3 decimals coincide. The cubic root of 7623126 is about 196.8087332531.

The spelling of 7623126 in words is "seven million, six hundred twenty-three thousand, one hundred twenty-six".