7442064 has 160 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 2014848.

The previous prime is 7442047. The next prime is 7442081. The reversal of 7442064 is 4602447.

7442064 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (7442047) and next prime (7442081).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69499 + ... + 69605.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 2^7442064 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 7442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

7442064 is an abundant number, since it is smaller than the sum of its proper divisors (18270576).

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

7442064 is a wasteful number, since it uses less digits than its factorization.

7442064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 7442064 is about 2728.0146627172. The cubic root of 7442064 is about 195.2380524669.

The spelling of 7442064 in words is "seven million, four hundred forty-two thousand, sixty-four".