1238016 has 88 divisors (see below), whose sum is σ = 3668224. Its totient is φ = 368640.

The previous prime is 1237993. The next prime is 1238023. The reversal of 1238016 is 6108321.

1238016 = T₈₃ + T₈₄ + ... + T₁₉₉.

It is a junction number, because it is equal to n+sod(n) for n = 1237983 and 1238001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39921 + ... + 39951.

2^1238016 is an apocalyptic number.

1238016 is a gapful number since it is divisible by the number (16) 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 1238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834112).

1238016 is an abundant number, since it is smaller than the sum of its proper divisors (2430208).

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

1238016 is a wasteful number, since it uses less digits than its factorization.

1238016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1238016 is about 1112.6616736457. The cubic root of 1238016 is about 107.3763785357.

The spelling of 1238016 in words is "one million, two hundred thirty-eight thousand, sixteen".