61442496 has 168 divisors, whose sum is σ = 191688720. Its totient is φ = 19284480.

The previous prime is 61442483. The next prime is 61442519. The reversal of 61442496 is 69424416.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61442496.

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 23 ways as a sum of consecutive naturals, for example, 1660590 + ... + 1660626.

Almost surely, 2^61442496 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 61442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95844360).

61442496 is an abundant number, since it is smaller than the sum of its proper divisors (130246224).

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

61442496 is a wasteful number, since it uses less digits than its factorization.

61442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 61442496 is about 7838.5263921224. The cubic root of 61442496 is about 394.5992752800.

The spelling of 61442496 in words is "sixty-one million, four hundred forty-two thousand, four hundred ninety-six".