61401408 has 56 divisors (see below), whose sum is σ = 164457888. Its totient is φ = 20215296.

The previous prime is 61401397. The next prime is 61401419. The reversal of 61401408 is 80410416.

It is an interprime number because it is at equal distance from previous prime (61401397) and next prime (61401419).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14010 + ... + 17862.

It is an arithmetic number, because the mean of its divisors is an integer number (2936748).

Almost surely, 2^61401408 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 61401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82228944).

61401408 is an abundant number, since it is smaller than the sum of its proper divisors (103056480).

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

61401408 is a wasteful number, since it uses less digits than its factorization.

61401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 61401408 is about 7835.9050530235. The cubic root of 61401408 is about 394.5112964842.

The spelling of 61401408 in words is "sixty-one million, four hundred one thousand, four hundred eight".