61245088 has 48 divisors (see below), whose sum is σ = 125846784. Its totient is φ = 29306880.

The previous prime is 61245077. The next prime is 61245091. The reversal of 61245088 is 88054216.

It is a super-3 number, since 3×61245088³ (a number of 24 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 105856 + ... + 106432.

It is an arithmetic number, because the mean of its divisors is an integer number (2621808).

Almost surely, 2^61245088 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 61245088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62923392).

61245088 is an abundant number, since it is smaller than the sum of its proper divisors (64601696).

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

61245088 is a wasteful number, since it uses less digits than its factorization.

61245088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 61245088 is about 7825.9240987886. The cubic root of 61245088 is about 394.1762204839.

The spelling of 61245088 in words is "sixty-one million, two hundred forty-five thousand, eighty-eight".