61506240 has 112 divisors (see below), whose sum is σ = 197998080. Its totient is φ = 16174080.

The previous prime is 61506217. The next prime is 61506253. The reversal of 61506240 is 4260516.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61506240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75435 + ... + 76245.

It is an arithmetic number, because the mean of its divisors is an integer number (1767840).

Almost surely, 2^61506240 is an apocalyptic number.

61506240 is a gapful number since it is divisible by the number (60) 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 61506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98999040).

61506240 is an abundant number, since it is smaller than the sum of its proper divisors (136491840).

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

61506240 is a wasteful number, since it uses less digits than its factorization.

61506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 61506240 is about 7842.5914084568. The cubic root of 61506240 is about 394.7356881557.

Adding to 61506240 its reverse (4260516), we get a palindrome (65766756).

The spelling of 61506240 in words is "sixty-one million, five hundred six thousand, two hundred forty".