1521888 has 48 divisors (see below), whose sum is σ = 4064256. Its totient is φ = 498560.

The previous prime is 1521869. The next prime is 1521893. The reversal of 1521888 is 8881251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1521888² = 4632286169088, which contains 22 as substring.

It is a congruent number.

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, 7873 + ... + 8063.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

2^1521888 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 1521888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128).

1521888 is an abundant number, since it is smaller than the sum of its proper divisors (2542368).

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

1521888 is a wasteful number, since it uses less digits than its factorization.

1521888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 5120, while the sum is 33.

The square root of 1521888 is about 1233.6482480837. The cubic root of 1521888 is about 115.0255267845.

The spelling of 1521888 in words is "one million, five hundred twenty-one thousand, eight hundred eighty-eight".