7387968 has 112 divisors (see below), whose sum is σ = 23408640. Its totient is φ = 2010624.

The previous prime is 7387967. The next prime is 7387969. The reversal of 7387968 is 8697837.

It is an interprime number because it is at equal distance from previous prime (7387967) and next prime (7387969).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7387967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30793 + ... + 31031.

Almost surely, 2^7387968 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 7387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704320).

7387968 is an abundant number, since it is smaller than the sum of its proper divisors (16020672).

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

7387968 is a wasteful number, since it uses less digits than its factorization.

7387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 7387968 is about 2718.0816764770. The cubic root of 7387968 is about 194.7638429773.

The spelling of 7387968 in words is "seven million, three hundred eighty-seven thousand, nine hundred sixty-eight".