1505988 has 36 divisors (see below), whose sum is σ = 4153968. Its totient is φ = 456240.

The previous prime is 1505983. The next prime is 1505993. The reversal of 1505988 is 8895051.

It is an interprime number because it is at equal distance from previous prime (1505983) and next prime (1505993).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1505988² = 4535999712288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1505983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506 + ... + 2297.

It is an arithmetic number, because the mean of its divisors is an integer number (115388).

2^1505988 is an apocalyptic number.

1505988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1505988 is an abundant number, since it is smaller than the sum of its proper divisors (2647980).

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

1505988 is a wasteful number, since it uses less digits than its factorization.

1505988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1505988 is about 1227.1870273108. The cubic root of 1505988 is about 114.6235453207.

The spelling of 1505988 in words is "one million, five hundred five thousand, nine hundred eighty-eight".