61084944 has 60 divisors (see below), whose sum is σ = 181016316. Its totient is φ = 19163136.

The previous prime is 61084931. The next prime is 61084951. The reversal of 61084944 is 44948016.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45968400 + 15116544 = 6780^2 + 3888^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 61084899 and 61084908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10029 + ... + 14924.

Almost surely, 2^61084944 is an apocalyptic number.

It is an amenable number.

61084944 is an abundant number, since it is smaller than the sum of its proper divisors (119931372).

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

61084944 is a wasteful number, since it uses less digits than its factorization.

61084944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24984 (or 24975 counting only the distinct ones).

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

The square root of 61084944 is about 7815.6857664571. The cubic root of 61084944 is about 393.8323558649.

The spelling of 61084944 in words is "sixty-one million, eighty-four thousand, nine hundred forty-four".