1538540 has 24 divisors (see below), whose sum is σ = 3307920. Its totient is φ = 600768.

The previous prime is 1538531. The next prime is 1538569. The reversal of 1538540 is 458351.

1538540 = T₃₄₆ + T₃₄₇ + ... + T₃₆₉.

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, 35 + ... + 1754.

It is an arithmetic number, because the mean of its divisors is an integer number (137830).

2^1538540 is an apocalyptic number.

1538540 is a gapful number since it is divisible by the number (10) 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 1538540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653960).

1538540 is an abundant number, since it is smaller than the sum of its proper divisors (1769380).

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

1538540 is a wasteful number, since it uses less digits than its factorization.

1538540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1538540 is about 1240.3789743461. The cubic root of 1538540 is about 115.4435297997.

Multiplying 1538540 by its sum of digits (26), we get a triangular number (40002040 = T₈₉₄₄).

The spelling of 1538540 in words is "one million, five hundred thirty-eight thousand, five hundred forty".