61952688 has 100 divisors (see below), whose sum is σ = 204954640. Its totient is φ = 17698176.

The previous prime is 61952659. The next prime is 61952699. The reversal of 61952688 is 88625916.

61952688 is a `hidden beast` number, since 619 + 5 + 26 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5658 + ... + 12486.

Almost surely, 2^61952688 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 61952688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102477320).

61952688 is an abundant number, since it is smaller than the sum of its proper divisors (143001952).

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

61952688 is a wasteful number, since it uses less digits than its factorization.

61952688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6841 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 61952688 is about 7871.0029856429. The cubic root of 61952688 is about 395.6884602049.

The spelling of 61952688 in words is "sixty-one million, nine hundred fifty-two thousand, six hundred eighty-eight".