61034016 has 48 divisors (see below), whose sum is σ = 164553984. Its totient is φ = 19793664.

The previous prime is 61034011. The next prime is 61034021. The reversal of 61034016 is 61043016.

It is an interprime number because it is at equal distance from previous prime (61034011) and next prime (61034021).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×61034016² = 7450302218176512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61033983 and 61034001.

It is not an unprimeable number, because it can be changed into a prime (61034011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5040 + ... + 12143.

It is an arithmetic number, because the mean of its divisors is an integer number (3428208).

Almost surely, 2^61034016 is an apocalyptic number.

It is an amenable number.

61034016 is an abundant number, since it is smaller than the sum of its proper divisors (103519968).

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

61034016 is a wasteful number, since it uses less digits than its factorization.

61034016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17233 (or 17225 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 61034016 is about 7812.4270236592. The cubic root of 61034016 is about 393.7228762369.

The spelling of 61034016 in words is "sixty-one million, thirty-four thousand, sixteen".