61787264 has 64 divisors (see below), whose sum is σ = 153489600. Its totient is φ = 24069120.

The previous prime is 61787263. The next prime is 61787267. The reversal of 61787264 is 46278716.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (61787261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6722 + ... + 12990.

It is an arithmetic number, because the mean of its divisors is an integer number (2398275).

Almost surely, 2^61787264 is an apocalyptic number.

61787264 is a gapful number since it is divisible by the number (64) 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 61787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76744800).

61787264 is an abundant number, since it is smaller than the sum of its proper divisors (91702336).

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

61787264 is a wasteful number, since it uses less digits than its factorization.

61787264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6289 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 61787264 is about 7860.4875166875. The cubic root of 61787264 is about 395.3359615680.

The spelling of 61787264 in words is "sixty-one million, seven hundred eighty-seven thousand, two hundred sixty-four".