61620048 has 240 divisors, whose sum is σ = 213736320. Its totient is φ = 16934400.

The previous prime is 61620043. The next prime is 61620067. The reversal of 61620048 is 84002616.

61620048 is a `hidden beast` number, since 616 + 2 + 0 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61620043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867853 + ... + 867923.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^61620048 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 61620048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

61620048 is an abundant number, since it is smaller than the sum of its proper divisors (152116272).

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

61620048 is a wasteful number, since it uses less digits than its factorization.

61620048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61620048 is about 7849.8438201024. The cubic root of 61620048 is about 394.9790043853.

The spelling of 61620048 in words is "sixty-one million, six hundred twenty thousand, forty-eight".