153968880 has 160 divisors (see below), whose sum is σ = 523091520. Its totient is φ = 37232640.

The previous prime is 153968861. The next prime is 153968891. The reversal of 153968880 is 88869351.

153968880 = T₂₁₄₄ + T₂₁₄₅ + ... + T₂₂₀₈.

153968880 = 2178² + 2179² + ... + 2209².

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 189916 + ... + 190724.

It is an arithmetic number, because the mean of its divisors is an integer number (3269322).

Almost surely, 2^153968880 is an apocalyptic number.

153968880 is a gapful number since it is divisible by the number (10) 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 153968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261545760).

153968880 is an abundant number, since it is smaller than the sum of its proper divisors (369122640).

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

153968880 is a wasteful number, since it uses less digits than its factorization.

153968880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 153968880 is about 12408.4197221080. The cubic root of 153968880 is about 535.9747333452.

The spelling of 153968880 in words is "one hundred fifty-three million, nine hundred sixty-eight thousand, eight hundred eighty".