61089408 has 96 divisors (see below), whose sum is σ = 185109600. Its totient is φ = 19284480.

The previous prime is 61089407. The next prime is 61089409. The reversal of 61089408 is 80498016.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61089407) and next prime (61089409).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (61089401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20493 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (1928225).

Almost surely, 2^61089408 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 61089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92554800).

61089408 is an abundant number, since it is smaller than the sum of its proper divisors (124020192).

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

61089408 is a wasteful number, since it uses less digits than its factorization.

61089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61089408 is about 7815.9713407868. The cubic root of 61089408 is about 393.8419491989.

The spelling of 61089408 in words is "sixty-one million, eighty-nine thousand, four hundred eight".