735616 has 32 divisors (see below), whose sum is σ = 1676880. Its totient is φ = 314880.

The previous prime is 735571. The next prime is 735617. The reversal of 735616 is 616537.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×735616² = 1082261798912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735617) by changing a digit.

735616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 486 + ... + 1306.

2⁷³⁵⁶¹⁶ 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 735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838440).

735616 is an abundant number, since it is smaller than the sum of its proper divisors (941264).

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

735616 is an equidigital number, since it uses as much as digits as its factorization.

735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 830 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 735616 is about 857.6805932280. The cubic root of 735616 is about 90.2714438651.

The spelling of 735616 in words is "seven hundred thirty-five thousand, six hundred sixteen".