7142688 has 96 divisors (see below), whose sum is σ = 23829120. Its totient is φ = 2039040.

The previous prime is 7142659. The next prime is 7142699. The reversal of 7142688 is 8862417.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5458 + ... + 6638.

It is an arithmetic number, because the mean of its divisors is an integer number (248220).

Almost surely, 2^7142688 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 7142688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914560).

7142688 is an abundant number, since it is smaller than the sum of its proper divisors (16686432).

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

7142688 is a wasteful number, since it uses less digits than its factorization.

7142688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1193 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7142688 is about 2672.5807752059. The cubic root of 7142688 is about 192.5841584005.

The spelling of 7142688 in words is "seven million, one hundred forty-two thousand, six hundred eighty-eight".