61887408 has 160 divisors (see below), whose sum is σ = 190464000. Its totient is φ = 17107200.

The previous prime is 61887403. The next prime is 61887433. The reversal of 61887408 is 80478816.

It is a self number, because there is not a number n which added to its sum of digits gives 61887408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61887403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310893 + ... + 311091.

It is an arithmetic number, because the mean of its divisors is an integer number (1190400).

Almost surely, 2^61887408 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 61887408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232000).

61887408 is an abundant number, since it is smaller than the sum of its proper divisors (128576592).

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

61887408 is a wasteful number, since it uses less digits than its factorization.

61887408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 61887408 is about 7866.8550259936. The cubic root of 61887408 is about 395.5494314210.

The spelling of 61887408 in words is "sixty-one million, eight hundred eighty-seven thousand, four hundred eight".