61581468 has 96 divisors (see below), whose sum is σ = 163021824. Its totient is φ = 17964288.

The previous prime is 61581433. The next prime is 61581473. The reversal of 61581468 is 86418516.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271171 + ... + 271397.

It is an arithmetic number, because the mean of its divisors is an integer number (1698144).

Almost surely, 2^61581468 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 61581468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81510912).

61581468 is an abundant number, since it is smaller than the sum of its proper divisors (101440356).

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

61581468 is a wasteful number, since it uses less digits than its factorization.

61581468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 61581468 is about 7847.3860616131. The cubic root of 61581468 is about 394.8965557245.

It can be divided in two parts, 6158 and 1468, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 61581468 in words is "sixty-one million, five hundred eighty-one thousand, four hundred sixty-eight".