1613640 has 128 divisors (see below), whose sum is σ = 5909760. Its totient is φ = 344064.

The previous prime is 1613639. The next prime is 1613641. The reversal of 1613640 is 463161.

It is an interprime number because it is at equal distance from previous prime (1613639) and next prime (1613641).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14224 + ... + 14336.

It is an arithmetic number, because the mean of its divisors is an integer number (46170).

2^1613640 is an apocalyptic number.

1613640 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 1613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954880).

1613640 is an abundant number, since it is smaller than the sum of its proper divisors (4296120).

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

1613640 is a wasteful number, since it uses less digits than its factorization.

1613640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1613640 is about 1270.2913051737. The cubic root of 1613640 is about 117.2921328601.

The spelling of 1613640 in words is "one million, six hundred thirteen thousand, six hundred forty".