962953920 has 280 divisors, whose sum is σ = 3469745664. Its totient is φ = 253476864.

The previous prime is 962953919. The next prime is 962953969. The reversal of 962953920 is 29359269.

962953920 is a `hidden beast` number, since 96 + 2 + 9 + 539 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2514049 + ... + 2514431.

Almost surely, 2^962953920 is an apocalyptic number.

962953920 is a gapful number since it is divisible by the number (90) 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 962953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734872832).

962953920 is an abundant number, since it is smaller than the sum of its proper divisors (2506791744).

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

962953920 is a wasteful number, since it uses less digits than its factorization.

962953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 962953920 is about 31031.4988358603. The cubic root of 962953920 is about 987.4955983353.

The spelling of 962953920 in words is "nine hundred sixty-two million, nine hundred fifty-three thousand, nine hundred twenty".