7061600 has 144 divisors (see below), whose sum is σ = 21436128. Its totient is φ = 2211840.

The previous prime is 7061591. The next prime is 7061603. The reversal of 7061600 is 61607.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7061603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72752 + ... + 72848.

It is an arithmetic number, because the mean of its divisors is an integer number (148862).

Almost surely, 2^7061600 is an apocalyptic number.

7061600 is a gapful number since it is divisible by the number (70) 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 7061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10718064).

7061600 is an abundant number, since it is smaller than the sum of its proper divisors (14374528).

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

7061600 is a wasteful number, since it uses less digits than its factorization.

7061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 7061600 is about 2657.3671180324. The cubic root of 7061600 is about 191.8526067866.

The spelling of 7061600 in words is "seven million, sixty-one thousand, six hundred".