53961390 has 160 divisors (see below), whose sum is σ = 171730944. Its totient is φ = 11897280.

The previous prime is 53961377. The next prime is 53961403. The reversal of 53961390 is 9316935.

53961390 is a `hidden beast` number, since 5 + 39 + 613 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53961377) and next prime (53961403).

It is a super-2 number, since 2×53961390² = 5823663221464200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175617 + ... + 175923.

Almost surely, 2^53961390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53961390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85865472).

53961390 is an abundant number, since it is smaller than the sum of its proper divisors (117769554).

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

53961390 is a wasteful number, since it uses less digits than its factorization.

53961390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 53961390 is about 7345.8416808423. The cubic root of 53961390 is about 377.8862091348.

It can be divided in two parts, 5396 and 1390, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 53961390 in words is "fifty-three million, nine hundred sixty-one thousand, three hundred ninety".