61395040 has 144 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 20428800.

The previous prime is 61395011. The next prime is 61395053. The reversal of 61395040 is 4059316.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321345 + ... + 321535.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 2^61395040 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 61395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

61395040 is an abundant number, since it is smaller than the sum of its proper divisors (112351904).

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

61395040 is a wasteful number, since it uses less digits than its factorization.

61395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 61395040 is about 7835.4987078041. The cubic root of 61395040 is about 394.4976576287.

The spelling of 61395040 in words is "sixty-one million, three hundred ninety-five thousand, forty".