7461600 has 72 divisors (see below), whose sum is σ = 24295320. Its totient is φ = 1989120.

The previous prime is 7461599. The next prime is 7461611. The reversal of 7461600 is 61647.

7461600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846 + ... + 3954.

It is an arithmetic number, because the mean of its divisors is an integer number (337435).

Almost surely, 2^7461600 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 7461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147660).

7461600 is an abundant number, since it is smaller than the sum of its proper divisors (16833720).

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

7461600 is a wasteful number, since it uses less digits than its factorization.

7461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7461600 is about 2731.5929418565. The cubic root of 7461600 is about 195.4087415818.

It can be divided in two parts, 746 and 1600, that added together give a triangular number (2346 = T₆₈).

The spelling of 7461600 in words is "seven million, four hundred sixty-one thousand, six hundred".