61651968 has 176 divisors, whose sum is σ = 194939904. Its totient is φ = 16957440.

The previous prime is 61651951. The next prime is 61652083. The reversal of 61651968 is 86915616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (77760) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010658 + ... + 1010718.

Almost surely, 2^61651968 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 61651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97469952).

61651968 is an abundant number, since it is smaller than the sum of its proper divisors (133287936).

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

61651968 is a wasteful number, since it uses less digits than its factorization.

61651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 61651968 is about 7851.8767183394. The cubic root of 61651968 is about 395.0471940620.

The spelling of 61651968 in words is "sixty-one million, six hundred fifty-one thousand, nine hundred sixty-eight".