53702880 has 192 divisors, whose sum is σ = 211051008. Its totient is φ = 11151360.

The previous prime is 53702863. The next prime is 53702893. The reversal of 53702880 is 8820735.

53702880 = T₄₆₁ + T₄₆₂ + ... + T₇₄₈.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36234 + ... + 37686.

It is an arithmetic number, because the mean of its divisors is an integer number (1099224).

Almost surely, 2^53702880 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 53702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105525504).

53702880 is an abundant number, since it is smaller than the sum of its proper divisors (157348128).

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

53702880 is a wasteful number, since it uses less digits than its factorization.

53702880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 53702880 is about 7328.2248873789. The cubic root of 53702880 is about 377.2818030605.

The spelling of 53702880 in words is "fifty-three million, seven hundred two thousand, eight hundred eighty".