61488000 has 384 divisors, whose sum is σ = 256501440. Its totient is φ = 13824000.

The previous prime is 61487999. The next prime is 61488023. The reversal of 61488000 is 88416.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007970 + ... + 1008030.

Almost surely, 2^61488000 is an apocalyptic number.

61488000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128250720).

61488000 is an abundant number, since it is smaller than the sum of its proper divisors (195013440).

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

61488000 is a wasteful number, since it uses less digits than its factorization.

61488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 61488000 is about 7841.4284412982. The cubic root of 61488000 is about 394.6966639808.

The spelling of 61488000 in words is "sixty-one million, four hundred eighty-eight thousand".