1607148 has 48 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 511632.

The previous prime is 1607143. The next prime is 1607149. The reversal of 1607148 is 8417061.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1607141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161 + ... + 2807.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^1607148 is an apocalyptic number.

1607148 is a gapful number since it is divisible by the number (18) 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 1607148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1607148 is an abundant number, since it is smaller than the sum of its proper divisors (2747412).

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

1607148 is a wasteful number, since it uses less digits than its factorization.

1607148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1607148 is about 1267.7334104614. The cubic root of 1607148 is about 117.1346247862.

The spelling of 1607148 in words is "one million, six hundred seven thousand, one hundred forty-eight".