61034688 has 336 divisors, whose sum is σ = 223113600. Its totient is φ = 16174080.

The previous prime is 61034671. The next prime is 61034713. The reversal of 61034688 is 88643016.

It is a happy number.

61034688 is a `hidden beast` number, since 610 + 34 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3212343 + ... + 3212361.

Almost surely, 2^61034688 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 61034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111556800).

61034688 is an abundant number, since it is smaller than the sum of its proper divisors (162078912).

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

61034688 is a wasteful number, since it uses less digits than its factorization.

61034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61034688 is about 7812.4700319425. The cubic root of 61034688 is about 393.7243212279.

The spelling of 61034688 in words is "sixty-one million, thirty-four thousand, six hundred eighty-eight".