61902144 has 70 divisors (see below), whose sum is σ = 183512714. Its totient is φ = 20632320.

The previous prime is 61902143. The next prime is 61902157. The reversal of 61902144 is 44120916.

61902144 is a `hidden beast` number, since 619 + 0 + 2 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 15116544 = 6840^2 + 3888^2 .

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 (61902143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 787 + ... + 11154.

Almost surely, 2^61902144 is an apocalyptic number.

61902144 is a gapful number since it is divisible by the number (64) 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 61902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91756357).

61902144 is an abundant number, since it is smaller than the sum of its proper divisors (121610570).

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

61902144 is a wasteful number, since it uses less digits than its factorization.

61902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61902144 is about 7867.7915579914. The cubic root of 61902144 is about 395.5808236651.

The spelling of 61902144 in words is "sixty-one million, nine hundred two thousand, one hundred forty-four".