7506408 has 96 divisors (see below), whose sum is σ = 23556960. Its totient is φ = 1975680.

The previous prime is 7506407. The next prime is 7506419. The reversal of 7506408 is 8046057.

It is a happy number.

It is a super-2 number, since 2×7506408² = 112692322124928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7506407) by changing a digit.

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, 15043 + ... + 15533.

It is an arithmetic number, because the mean of its divisors is an integer number (245385).

Almost surely, 2^7506408 is an apocalyptic number.

7506408 is a gapful number since it is divisible by the number (78) 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 7506408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778480).

7506408 is an abundant number, since it is smaller than the sum of its proper divisors (16050552).

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

7506408 is a wasteful number, since it uses less digits than its factorization.

7506408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7506408 is about 2739.7824731172. The cubic root of 7506408 is about 195.7991139042.

The spelling of 7506408 in words is "seven million, five hundred six thousand, four hundred eight".